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Journal articles on the topic 'Lie'

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Published: 4 June 2021
Last updated: 21 September 2024

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1

Wilcox, Christie. "Lice Don't Lie." Scientific American 306, no. 6 (May 15, 2012): 28. http://dx.doi.org/10.1038/scientificamerican0612-28a.

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2

Khalili, Valiollah. "On the structure of graded 3-Lie-Rinehart algebras." Filomat 38, no. 2 (2024): 369–92. http://dx.doi.org/10.2298/fil2402369k.

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We study the structure of a graded 3-Lie-Rinehart algebraLover an associative and commutative graded algebra A. For G an abelian group, we show that if (L,A) is a tight G-graded 3-Lie-Rinehart algebra, then L and A decompose as L = ? i?I Li and A = ? j?J Aj, where any Li is a non-zero graded ideal of L satisfying [Li1 ,Li2 ,Li3] = 0 for any i1, i2, i3 ? I different from each other, and any Aj is a non-zero graded ideal of A satisfying AjAl = 0 for any l, j ? J such that j ?l, and both decompositions satisfy that for any i ? I there exists a unique j ? J such that AjLi ? 0. Furthermore, any (Li,Aj) is a graded 3-Lie-Rinehart algebra. Also, under certain conditions, it is shown that the above decompositions of L and A are by means of the family of their, respectively, graded simple ideals.
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3

Churchill, Ward. "Lie for lie." Peace Review 9, no. 1 (March 1997): 123–31. http://dx.doi.org/10.1080/10402659708426037.

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4

Park, Chun-Gil. "Lie ∗-homomorphisms between Lie C∗-algebras and Lie ∗-derivations on Lie C∗-algebras." Journal of Mathematical Analysis and Applications 293, no. 2 (May 2004): 419–34. http://dx.doi.org/10.1016/j.jmaa.2003.10.051.

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5

Conant, James. "The $\mathsf {Lie}$ Lie algebra." Quantum Topology 8, no. 4 (December 6, 2017): 667–714. http://dx.doi.org/10.4171/qt/99.

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6

Mackenzie, Kirill C. H. "Lie Algebroids and Lie Pseudoalgebras." Bulletin of the London Mathematical Society 27, no. 2 (March 1995): 97–147. http://dx.doi.org/10.1112/blms/27.2.97.

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7

Merati, S., and M. R. Farhangdoost. "Hom-Lie group and hom-Lie algebra from Lie group and Lie algebra perspective." International Journal of Geometric Methods in Modern Physics 18, no. 05 (January 29, 2021): 2150068. http://dx.doi.org/10.1142/s0219887821500687.

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A hom-Lie group structure is a smooth group-like multiplication on a manifold, where the structure is twisted by a isomorphism. The notion of hom-Lie group was introduced by Jiang et al. as integration of hom-Lie algebra. In this paper we want to study hom-Lie group and hom-Lie algebra from the Lie group’s point of view. We show that some of important hom-Lie group issues are equal to similar types in Lie groups and then many of these issues can be studied by Lie group theory.
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8

Qi, Xiaofei, and Jinchuan Hou. "Additive Lie (ξ-Lie) derivations and generalized Lie (ξ-Lie) derivations on nest algebras." Linear Algebra and its Applications 431, no. 5-7 (August 2009): 843–54. http://dx.doi.org/10.1016/j.laa.2009.03.037.

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9

Qi, Xiao Fei, and Jin Chuan Hou. "Additive Lie (ξ-Lie) derivations and generalized Lie (ξ-Lie) derivations on prime algebras." Acta Mathematica Sinica, English Series 29, no. 2 (September 6, 2012): 383–92. http://dx.doi.org/10.1007/s10114-012-0502-8.

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10

Biyogmam, Guy Roger, Jose Manuel Casas, and Natalia Pacheco Rego. "Lie-central derivations, Lie-centroids and Lie-stem Leibniz algebras." Publicationes Mathematicae Debrecen 97, no. 1-2 (July 1, 2020): 217–39. http://dx.doi.org/10.5486/pmd.2020.8810.

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11

Gordji, M. Eshaghi, and G. H. Kim. "Approximate -Lie Homomorphisms and Jordan -Lie Homomorphisms on -Lie Algebras." Abstract and Applied Analysis 2012 (2012): 1–11. http://dx.doi.org/10.1155/2012/279632.

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12

Bosch, Daniel. "Lie." Annals of Internal Medicine 160, no. 9 (May 6, 2014): 660. http://dx.doi.org/10.7326/m14-0063.

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13

SASANO, Nagatoshi. "LIE ALGEBRAS GENERATED BY LIE MODULES." Kyushu Journal of Mathematics 68, no. 2 (2014): 377–403. http://dx.doi.org/10.2206/kyushujm.68.377.

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14

Laurent-Gengoux, Camille, and Ruben Louis. "Lie-Rinehart algebras ≃ acyclic Lie ∞-algebroids." Journal of Algebra 594 (March 2022): 1–53. http://dx.doi.org/10.1016/j.jalgebra.2021.11.023.

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15

Cabrera, Miguel, and Juana Sánchez Ortega. "Lie Quotients for Skew Lie Algebras." Algebra Colloquium 16, no. 02 (June 2009): 267–74. http://dx.doi.org/10.1142/s1005386709000261.

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Let A be a semiprime associative algebra with an involution ∗ over a field of characteristic not 2, let KA be the Lie algebra of all skew elements of A, and let ZKA denote the annihilator of KA. The aim of this paper is to prove that if Q is a ∗-subalgebra of Qs(A) (the Martindale symmetric algebra of quotients of A) containing A, then KQ/ZKQ is a Lie algebra of quotients of KA/ZKA. Similarly, [KQ, KQ]/Z[KQ,KQ] is a Lie algebra of quotients of [KA,KA]/Z[KA,KA].
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16

Winter, David J. "Lie Algops and Simple Lie Algebras." Communications in Algebra 33, no. 9 (August 2005): 3157–78. http://dx.doi.org/10.1081/agb-200066145.

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17

Sauvage, Lucienne. "To lie or not to lie." working@office 12, no. 1 (January 2011): XIV—XVI. http://dx.doi.org/10.1365/s35131-011-0124-y.

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18

Tilson, M. David. "To Lie or Not to Lie?" Journal of the American College of Surgeons 201, no. 3 (September 2005): 490. http://dx.doi.org/10.1016/j.jamcollsurg.2005.05.037.

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19

Andruskiewitsch, N. "Lie superbialgebras and poisson-lie supergroups." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 63, no. 1 (December 1993): 147–63. http://dx.doi.org/10.1007/bf02941339.

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20

Eggert, Anselm. "Lie Semialgebras in reductive Lie algebras." Semigroup Forum 41, no. 1 (December 1990): 115–21. http://dx.doi.org/10.1007/bf02573382.

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21

Bonechi, Francesco, and Maxim Zabzine. "Lie algebroids, Lie groupoids and TFT." Journal of Geometry and Physics 57, no. 3 (February 2007): 731–44. http://dx.doi.org/10.1016/j.geomphys.2006.05.007.

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22

Wüstner, Michael. "Splittable Lie Groups and Lie Algebras." Journal of Algebra 226, no. 1 (April 2000): 202–15. http://dx.doi.org/10.1006/jabr.1999.8162.

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23

Kissin, Edward, Victor S. Shulman, and Yurii V. Turovskii. "Banach Lie algebras with Lie subalgebras of finite codimension have Lie ideals." Journal of the London Mathematical Society 80, no. 3 (September 10, 2009): 603–26. http://dx.doi.org/10.1112/jlms/jdp046.

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24

Arshad, Minahal, and M. Mobeen Munir. "On Lie Derivations, Generalized Lie Derivations and Lie Centralizers of Octonion Algebras." Ars Combinatoria 157 (December 31, 2023): 23–37. http://dx.doi.org/10.61091/ars157-02.

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Let L be a unital ring with characteristic different from 2 and O ( L ) be an algebra of Octonion over L . In the present article, our attempt is to present the characterization as well as the matrix representation of some variants of derivations on O ( L ) . The matrix representation of Lie derivation of O ( L ) and its decomposition in terms of Lie derivation and Jordan derivation of L and inner derivation of O is presented. The result about the decomposition of Lie centralizer of O in terms of Lie centralizer and Jordan centralizer of L is given. Moreover, the matrix representation of generalized Lie derivation (also known as D -Lie derivation) of O ( L ) is computed.
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25

De Stefano, Domenico, Federica Vaccarino, Domiziana Santucci, Marco Parillo, Antonio Nenna, Francesco Loreni, Chiara Ferrisi, et al. "Delayed Enhancement in Cardiac CT: A Potential Alternative to Cardiac MRI? Technical Updates and Clinical Considerations." Applied Sciences 14, no. 10 (May 17, 2024): 4275. http://dx.doi.org/10.3390/app14104275.

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Despite cardiac magnetic resonance (CMR) with late gadolinium enhancement (LGE) being the current gold standard for non-invasive myocardial characterization and fibrosis quantification, its accessibility is limited, particularly in acute settings and in certain patient populations with contraindications to magnetic resonance imaging. Late iodine enhancement (LIE) in computed tomography (CT) imaging has emerged as a potential alternative, capitalizing on the similarities in the contrast kinetics between gadolinium and iodinated contrast agents. Studies have investigated LIE-CT’s effectiveness in myocardial infarction (MI) detection, revealing promising outcomes alongside some disparities compared to LGE-CMR. LIE-CT also proves beneficial in diagnosing non-ischemic heart diseases such as myocarditis, hypertrophic cardiomyopathy, and sarcoidosis. While LIE-CT demonstrates good accuracy in detecting certain myocardial pathologies, including acute MI and chronic fibrotic changes, it has limitations, such as the inability to detect diffuse myocardial enhancement. Nonetheless, thanks to the availability of optimized protocols with minimal radiation doses and contrast medium administration, integrating LIE-CT into cardiac CT protocols could enhance its clinical utility, particularly in acute settings, providing valuable prognostic and management insights across a spectrum of cardiac ischemic and non-ischemic conditions.
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26

Bangoura, Momo. "Bigèbres quasi-Lie et boucles de Lie." Bulletin of the Belgian Mathematical Society - Simon Stevin 16, no. 4 (November 2009): 593–616. http://dx.doi.org/10.36045/bbms/1257776236.

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27

Jun, Young-Bae, and Chul-Hwan Park. "INTUITIONISTIC FUZZY LIE IDEALS OF LIE ALGERBAS." Honam Mathematical Journal 29, no. 2 (June 25, 2007): 259–68. http://dx.doi.org/10.5831/hmj.2007.29.2.259.

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28

MORIMOTO, Mitsuo, and Keiko FUJITA. "Between Lie Norm and Dual Lie Norm." Tokyo Journal of Mathematics 24, no. 2 (December 2001): 499–507. http://dx.doi.org/10.3836/tjm/1255958190.

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29

Abramov, Viktor. "3-Lie Superalgebras Induced by Lie Superalgebras." Axioms 8, no. 1 (February 6, 2019): 21. http://dx.doi.org/10.3390/axioms8010021.

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We show that given a Lie superalgebra and an element of its dual space, one can construct the 3-Lie superalgebra. We apply this approach to Lie superalgebra of ( m , n ) -block matrices taking a supertrace of a matrix as the element of dual space. Then we also apply this approach to commutative superalgebra and the Lie superalgebra of its derivations to construct 3-Lie superalgebra. The graded Lie brackets are constructed by means of a derivation and involution of commutative superalgebra, and we use them to construct 3-Lie superalgebras.
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30

Grabowski, Janusz, and Katarzyna Grabowska. "The Lie algebra of a Lie algebroid." Banach Center Publications 54 (2001): 43–50. http://dx.doi.org/10.4064/bc54-0-4.

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31

Magnus, John. "Lie ideals closed under non-lie polynomials." Communications in Algebra 22, no. 13 (January 1994): 5117–57. http://dx.doi.org/10.1080/00927879408825124.

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32

Xu, Ying, Junbo Li, and Wei Wang. "Lie Bialgebra Structures on the Lie Algebra." Communications in Algebra 41, no. 12 (December 2, 2013): 4751–63. http://dx.doi.org/10.1080/00927872.2012.693556.

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33

Smith, Matthew S. "One Little Mind, Our Lie, Dr. Lie." Neurology 87, no. 2 (July 11, 2016): 232–33. http://dx.doi.org/10.1212/wnl.0000000000002831.

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34

Kim, Chung-Gook, and Dong-Soo Lee. "Fuzzy Lie ideals and fuzzy Lie subalgebras." Fuzzy Sets and Systems 94, no. 1 (February 1998): 101–7. http://dx.doi.org/10.1016/s0165-0114(96)00230-8.

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35

Aldrovandi, E., U. Bruzzo, and V. Rubtsov. "Lie algebroid cohomology and Lie algebroid extensions." Journal of Algebra 505 (July 2018): 456–81. http://dx.doi.org/10.1016/j.jalgebra.2018.03.018.

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36

Virg�s, Enrique Macias. "Non-closed Lie subgroups of Lie groups." Annals of Global Analysis and Geometry 11, no. 1 (February 1993): 35–40. http://dx.doi.org/10.1007/bf00773362.

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37

Filippov, V. T. "Lie center of semiprime binary-Lie algebras." Siberian Mathematical Journal 32, no. 3 (1992): 490–95. http://dx.doi.org/10.1007/bf00970488.

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38

Wang, Yu. "Lie superhomomorphisms on Lie ideals in superalgebras." Israel Journal of Mathematics 196, no. 1 (August 2013): 461–82. http://dx.doi.org/10.1007/s11856-012-0172-3.

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39

Zambon, Marco, and Chenchang Zhu. "Higher Lie algebra actions on Lie algebroids." Journal of Geometry and Physics 64 (February 2013): 155–73. http://dx.doi.org/10.1016/j.geomphys.2012.11.004.

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40

Goenner, Hubert. "Weak Lie symmetry and extended Lie algebra." Journal of Mathematical Physics 54, no. 4 (April 2013): 041701. http://dx.doi.org/10.1063/1.4795839.

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41

Zhang, Tao, and Zhangju Liu. "Omni-Lie superalgebras and Lie 2-superalgebras." Frontiers of Mathematics in China 9, no. 5 (January 20, 2014): 1195–210. http://dx.doi.org/10.1007/s11464-014-0347-9.

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42

Towers, David A., and Vicente R. Varea. "Elementary Lie algebras and Lie A-algebras." Journal of Algebra 312, no. 2 (June 2007): 891–901. http://dx.doi.org/10.1016/j.jalgebra.2006.11.034.

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43

Gubarev, V. Yu. "Universal enveloping Lie Rota–Baxter algebras of pre-Lie and post-Lie algebras." Algebra i logika 58, no. 1 (September 13, 2017): 3–21. http://dx.doi.org/10.33048/alglog.2019.58.101.

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44

Azam, Saeid. "Generalized Reductive Lie Algebras: Connections With Extended Affine Lie Algebras and Lie Tori." Canadian Journal of Mathematics 58, no. 2 (April 1, 2006): 225–48. http://dx.doi.org/10.4153/cjm-2006-009-8.

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AbstractWe investigate a class of Lie algebras which we call generalized reductive Lie algebras. These are generalizations of semi-simple, reductive, and affine Kac–Moody Lie algebras. A generalized reductive Lie algebra which has an irreducible root system is said to be irreducible and we note that this class of algebras has been under intensive investigation in recent years. They have also been called extended affine Lie algebras. The larger class of generalized reductive Lie algebras has not been so intensively investigated. We study themin this paper and note that one way they arise is as fixed point subalgebras of finite order automorphisms. We show that the core modulo the center of a generalized reductive Lie algebra is a direct sum of centerless Lie tori. Therefore one can use the results known about the classification of centerless Lie tori to classify the cores modulo centers of generalized reductive Lie algebras.
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45

Gubarev, V. Yu. "Universal Enveloping Lie Rota–Baxter Algebras of Pre-Lie and Post-Lie Algebras." Algebra and Logic 58, no. 1 (March 2019): 1–14. http://dx.doi.org/10.1007/s10469-019-09520-8.

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46

Paul Franks. "Desdemona's Lie." Journal of Nietzsche Studies 44, no. 2 (2013): 225. http://dx.doi.org/10.5325/jnietstud.44.2.0225.

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47

Nishioka, Keiji. "Lie extensions." Proceedings of the Japan Academy, Series A, Mathematical Sciences 73, no. 5 (1997): 82–85. http://dx.doi.org/10.3792/pjaa.73.82.

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48

Polubinskaya, S. V. "LIE DETECTOR." Союз криминалистов и криминологов 1 (2021): 7–14. http://dx.doi.org/10.31085/2310-8681-2021-1-204-7-14.

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49

ALI, ROBINA, and AISHA ABRAR. "TRANSVERSE LIE." Professional Medical Journal 18, no. 02 (June 10, 2011): 208–11. http://dx.doi.org/10.29309/tpmj/2011.18.02.2053.

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Transverse lie is dangerous not only to fetus but may endanger the life of mother if timely intervention is not done. Good antenatal care is of tremendous importance for proper management of transverse lie. Objectives: 1). To determine the predisposing factors to transverse lie. 2). To find out maternal and perinatal outcome in transverse lie. Facts were analyzed to find out the avoidable factors which make the maternal and perinatal outcome worse. Setting: Gynae and obstetric unit-II DHQ Hospital Faisalabad. Study Design: It was a descriptive study. Duration: Six months from 15th September, 2006 to 15th March, 2007. Materials and methods: Sixty cases of transverse lie were included in this study. These sixty patients were analyzed in great details, regarding predisposing factors, clinical features, intrapartum and postpartum management including the maternal and perinatal outcome. Results: Predisposing factors were found in 42% of the primpara but in only 34% of the multipara. The mode of delivery was surgical and lower segment caesarean section was undertaken in 80% of cases. Maternal outcome in order of frequency were difficult surgery in 23.3%, obstructed Labour in 15%, delayed recovery from anaesthesia in 3.3% and uterine rupture in 1.6%. Fetal outcome in order of frequency were intrauterine death in 18.3%, hand prolapse in 20% and cord prolapse in 8.9%. Conclusions: Known predisposing factors to transverse lie withstand a closer and more accurate assessment of their incidence. The maternal and perinatal outcome can be improved by early diagnosis during antenatal care and hospital delivery, without any delay.
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50

Baas, Nils A. "Sophus Lie." Modeling, Identification and Control: A Norwegian Research Bulletin 15, no. 1 (1994): 3–7. http://dx.doi.org/10.4173/mic.1994.1.1.

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