Добірка наукової літератури з теми "Noncommutative algebras"
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Статті в журналах з теми "Noncommutative algebras":
Arutyunov, A. A. "Derivation Algebra in Noncommutative Group Algebras." Proceedings of the Steklov Institute of Mathematics 308, no. 1 (January 2020): 22–34. http://dx.doi.org/10.1134/s0081543820010022.
Abel, Mati, and Krzysztof Jarosz. "Noncommutative uniform algebras." Studia Mathematica 162, no. 3 (2004): 213–18. http://dx.doi.org/10.4064/sm162-3-2.
Xu, Ping. "Noncommutative Poisson Algebras." American Journal of Mathematics 116, no. 1 (February 1994): 101. http://dx.doi.org/10.2307/2374983.
Ferreira, Vitor O., Jairo Z. Gonçalves, and Javier Sánchez. "Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras." International Journal of Algebra and Computation 25, no. 06 (September 2015): 1075–106. http://dx.doi.org/10.1142/s0218196715500319.
Roh, Jaiok, and Ick-Soon Chang. "Approximate Derivations with the Radical Ranges of Noncommutative Banach Algebras." Abstract and Applied Analysis 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/594075.
Ercolessi, Elisa, Giovanni Landi, and Paulo Teotonio-Sobrinho. "Noncommutative Lattices and the Algebras of Their Continuous Functions." Reviews in Mathematical Physics 10, no. 04 (May 1998): 439–66. http://dx.doi.org/10.1142/s0129055x98000148.
LETZTER, EDWARD S. "NONCOMMUTATIVE IMAGES OF COMMUTATIVE SPECTRA." Journal of Algebra and Its Applications 07, no. 05 (October 2008): 535–52. http://dx.doi.org/10.1142/s0219498808002941.
Mahanta, Snigdhayan. "Noncommutative stable homotopy and stable infinity categories." Journal of Topology and Analysis 07, no. 01 (December 2, 2014): 135–65. http://dx.doi.org/10.1142/s1793525315500077.
Utudee, Somlak. "Tensor Products of Noncommutative Lp-Spaces." ISRN Algebra 2012 (May 14, 2012): 1–9. http://dx.doi.org/10.5402/2012/197468.
BLOHMANN, CHRISTIAN. "PERTURBATIVE SYMMETRIES ON NONCOMMUTATIVE SPACES." International Journal of Modern Physics A 19, no. 32 (December 30, 2004): 5693–706. http://dx.doi.org/10.1142/s0217751x04021238.
Дисертації з теми "Noncommutative algebras":
Rennie, Adam Charles. "Noncommutative spin geometry." Title page, contents and introduction only, 2001. http://web4.library.adelaide.edu.au/theses/09PH/09phr4163.pdf.
Hartman, Gregory Neil. "Graphs and Noncommutative Koszul Algebras." Diss., Virginia Tech, 2002. http://hdl.handle.net/10919/27156.
Ph. D.
Schoenecker, Kevin J. "An infinite family of anticommutative algebras with a cubic form." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1187185559.
Russell, Ewan. "Prime ideals in quantum algebras." Thesis, University of Edinburgh, 2009. http://hdl.handle.net/1842/3450.
Phan, Christopher Lee 1980. "Koszul and generalized Koszul properties for noncommutative graded algebras." Thesis, University of Oregon, 2009. http://hdl.handle.net/1794/10367.
We investigate some homological properties of graded algebras. If A is an R -algebra, then E (A) := Ext A ( R, R ) is an R-algebra under the cup product and is called the Yoneda algebra. (In most cases, we assume R is a field.) A well-known and widely-studied condition on E(A) is the Koszul property. We study a class of deformations of Koszul algebras that arises from the study of equivariant cohomology and algebraic groups and show that under certain circumstances these deformations are Poincaré-Birkhoff-Witt deformations. Some of our results involve the [Special characters omitted] property, recently introduced by Cassidy and Shelton, which is a generalization of the Koszul property. While a Koszul algebra must be quadratic, a [Special characters omitted] algebra may have its ideal of relations generated in different degrees. We study the structure of the Yoneda algebra corresponding to a monomial [Special characters omitted.] algebra and provide an example of a monomial [Special characters omitted] algebra whose Yoneda algebra is not also [Special characters omitted]. This example illustrates the difficulty of finding a [Special characters omitted] analogue of the classical theory of Koszul duality. It is well-known that Poincaré-Birkhoff-Witt algebras are Koszul. We find a [Special characters omitted] analogue of this theory. If V is a finite-dimensional vector space with an ordered basis, and A := [Special characters omitted] (V)/I is a connected-graded algebra, we can place a filtration F on A as well as E (A). We show there is a bigraded algebra embedding Λ: gr F E (A) [Special characters omitted] E (gr F A ). If I has a Gröbner basis meeting certain conditions and gr F A is [Special characters omitted], then Λ can be used to show that A is also [Special characters omitted]. This dissertation contains both previously published and co-authored materials.
Committee in charge: Brad Shelton, Chairperson, Mathematics; Victor Ostrik, Member, Mathematics; Christopher Phillips, Member, Mathematics; Sergey Yuzvinsky, Member, Mathematics; Van Kolpin, Outside Member, Economics
Meyer, Jonas R. "Noncommutative Hardy algebras, multipliers, and quotients." Diss., University of Iowa, 2010. https://ir.uiowa.edu/etd/712.
Uhl, Christine. "Quantum Drinfeld Hecke Algebras." Thesis, University of North Texas, 2016. https://digital.library.unt.edu/ark:/67531/metadc862764/.
Zhao, Xiangui. "Groebner-Shirshov bases in some noncommutative algebras." London Mathematical Society, 2014. http://hdl.handle.net/1993/24315.
Oblomkov, Alexei. "Double affine Hecke algebras and noncommutative geometry." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/31165.
Includes bibliographical references (p. 93-96).
In the first part we study Double Affine Hecke algebra of type An-1 which is important tool in the theory of orthogonal polynomials. We prove that the spherical subalgebra eH(t, 1)e of the Double Affine Hecke algebra H(t, 1) of type An-1 is an integral Cohen-Macaulay algebra isomorphic to the center Z of H(t, 1), and H(t, 1)e is a Cohen-Macaulay eH(t, 1)e-module with the property H(t, 1) = EndeH(t,tl)(H(t, 1)e). This implies the classification of the finite dimensional representations of the algebras. In the second part we study the algebraic properties of the five-parameter family H(tl, t2, t3, t4; q) of double affine Hecke algebras of type CVC1, which control Askey- Wilson polynomials. We show that if q = 1, then the spectrum of the center of H is an affine cubic surface C, obtained from a projective one by removing a triangle consisting of smooth points. Moreover, any such surface is obtained as the spectrum of the center of H for some values of parameters. We prove that the only fiat de- formations of H come from variations of parameters. This explains from the point of view of noncommutative geometry why one cannot add more parameters into the theory of Askey-Wilson polynomials. We also prove several results on the universality of the five-parameter family H(tl, t2, t3, t4; q) of algebras.
by Alexei Oblomkov.
Ph.D.
Gohm, Rolf. "Noncommutative stationary processes /." Berlin [u.a.] : Springer, 2004. http://www.loc.gov/catdir/enhancements/fy0813/2004103932-d.html.
Книги з теми "Noncommutative algebras":
Farb, Benson. Noncommutative algebra. New York: Springer-Verlag, 1993.
Iorgulescu, Afrodita. Algebras of logic as BCK algebras. Bucharest: Editura ASE, 2008.
Corrado, De Concini, ed. Noncommutative algebra and geometry. Boca Raton: Chapman & Hall/CRC, 2006.
Silva, Ana Cannas da. Geometric models for noncommutative algebras. Providence, R.I: American Mathematical Society, 1999.
Marubayashi, Hidetoshi. Prime Divisors and Noncommutative Valuation Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.
Khalkhali, Masoud, and Guoliang Yu. Perspectives on noncommutative geometry. Providence, R.I: American Mathematical Society, 2011.
Rosenberg, Alex. Noncommutative algebraic geometry and representations of quantized algebras. Dordrecht: Kluwer Academic Publishers, 1995.
Rosenberg, Alexander L. Noncommutative Algebraic Geometry and Representations of Quantized Algebras. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8430-2.
Cuculescu, I. Noncommutative probability. Dordrecht: Kluwer Academic Publishers, 1994.
Kussin, Dirk. Noncommutative curves of genus zero: Related to finite dimensional algebras. Providence, R.I: American Mathematical Society, 2009.
Частини книг з теми "Noncommutative algebras":
Cuculescu, I., and A. G. Oprea. "Jordan Algebras." In Noncommutative Probability, 293–315. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-015-8374-9_7.
Arzumanian, Victor, and Suren Grigorian. "Noncommutative Uniform Algebras." In Linear Operators in Function Spaces, 101–9. Basel: Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-7250-8_5.
Cuculescu, I., and A. G. Oprea. "Probability on von Neumann Algebras." In Noncommutative Probability, 53–94. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-015-8374-9_2.
Rosenberg, Alexander L. "Noncommutative Affine Schemes." In Noncommutative Algebraic Geometry and Representations of Quantized Algebras, 1–47. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8430-2_1.
Rosenberg, Alexander L. "Noncommutative Local Algebra." In Noncommutative Algebraic Geometry and Representations of Quantized Algebras, 110–41. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8430-2_3.
Rosenberg, Alexander L. "Noncommutative Projective Spectrum." In Noncommutative Algebraic Geometry and Representations of Quantized Algebras, 276–305. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8430-2_7.
Aschieri, Paolo. "Quantum Groups, Quantum Lie Algebras, and Twists." In Noncommutative Spacetimes, 111–32. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-89793-4_7.
Bratteli, Ola. "Noncommutative vectorfields." In Derivations, Dissipations and Group Actions on C*-algebras, 34–240. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0098820.
Gracia-Bondía, José M., Joseph C. Várilly, and Héctor Figueroa. "Kreimer-Connes-Moscovici Algebras." In Elements of Noncommutative Geometry, 597–640. Boston, MA: Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0005-5_14.
Várilly, Joseph C. "The Interface of Noncommutative Geometry and Physics." In Clifford Algebras, 227–42. Boston, MA: Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-1-4612-2044-2_15.
Тези доповідей конференцій з теми "Noncommutative algebras":
VÁRILLY, JOSEPH C. "HOPF ALGEBRAS IN NONCOMMUTATIVE GEOMETRY." In Proceedings of the Summer School. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812705068_0001.
Schauenburg, P. "Weak Hopf algebras and quantum groupoids." In Noncommutative Geometry and Quantum Groups. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc61-0-12.
Khalkhali, M., and B. Rangipour. "Cyclic cohomology of (extended) Hopf algebras." In Noncommutative Geometry and Quantum Groups. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc61-0-5.
Gomez, X., and S. Majid. "Relating quantum and braided Lie algebras." In Noncommutative Geometry and Quantum Groups. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc61-0-6.
Szymański, Wojciech. "Quantum lens spaces and principal actions on graph C*-algebras." In Noncommutative Geometry and Quantum Groups. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc61-0-18.
MORI, IZURU. "NONCOMMUTATIVE PROJECTIVE SCHEMES AND POINT SCHEMES." In Proceedings of the International Conference on Algebras, Modules and Rings. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774552_0014.
Majewski, Władysław A., and Marcin Marciniak. "On the structure of positive maps between matrix algebras." In Noncommutative Harmonic Analysis with Applications to Probability. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-18.
Wakui, Michihisa. "The coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras." In Noncommutative Geometry and Quantum Groups. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc61-0-20.
LONGO, ROBERTO. "OPERATOR ALGEBRAS AND NONCOMMUTATIVE GEOMETRIC ASPECTS IN CONFORMAL FIELD THEORY." In XVIth International Congress on Mathematical Physics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814304634_0008.
Fernández, David, and Luis Álvarez–cónsul. "Noncommutative bi-symplectic $\mathbb{N}Q$-algebras of weight 1." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0019.