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Articoli di riviste sul tema "Cohomology of condensed groups"

Autore: Grafiati

Pubblicato: 14 dicembre 2024

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1

Rodrigues Jacinto, Joaquín, e Juan Rodríguez Camargo. "Solid locally analytic representations of 𝑝-adic Lie groups". Representation Theory of the American Mathematical Society 26, n. 31 (31 agosto 2022): 962–1024. http://dx.doi.org/10.1090/ert/615.

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We develop the theory of locally analytic representations of compact p p -adic Lie groups from the perspective of the theory of condensed mathematics of Clausen and Scholze. As an application, we generalise Lazard’s isomorphisms between continuous, locally analytic and Lie algebra cohomology to solid representations. We also prove a comparison result between the group cohomology of a solid representation and of its analytic vectors.

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2

Artusa, Marco. "Duality for condensed cohomology of the Weil group of a $p$-adic field". Documenta Mathematica 29, n. 6 (26 novembre 2024): 1381–434. http://dx.doi.org/10.4171/dm/977.

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We use the theory of Condensed Mathematics to build a condensed cohomology theory for the Weil group of a p -adic field. The cohomology groups are proved to be locally compact abelian groups of finite ranks in some special cases. This allows us to enlarge the local Tate duality to a more general category of non-necessarily discrete coefficients, where it takes the form of a Pontryagin duality between locally compact abelian groups.

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3

Gähler, Franz, e Johannes Kellendonk. "Cohomology groups for projection tilings of codimension 2". Materials Science and Engineering: A 294-296 (dicembre 2000): 438–40. http://dx.doi.org/10.1016/s0921-5093(00)01171-0.

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4

FISHER, BENJI N., e DAVID A. RABSON. "Group Cohomology and Quasicrystals I: Classification of Two-Dimensional Space Groups". Ferroelectrics 305, n. 1 (gennaio 2004): 37–40. http://dx.doi.org/10.1080/00150190490462360.

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5

Conduché, Daniel, Hvedri Inassaridze e Nick Inassaridze. "Modq cohomology and Tate–Vogel cohomology of groups". Journal of Pure and Applied Algebra 189, n. 1-3 (maggio 2004): 61–87. http://dx.doi.org/10.1016/j.jpaa.2003.10.025.

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6

Inassaridze, H. "Non-Abelian Cohomology of Groups". gmj 4, n. 4 (agosto 1997): 313–31. http://dx.doi.org/10.1515/gmj.1997.313.

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Abstract (sommario):

Abstract Following Guin's approach to non-abelian cohomology [Guin, Pure Appl. Algebra 50: 109–137, 1988] and, using the notion of a crossed bimodule, a second pointed set of cohomology is defined with coefficients in a crossed module, and Guin's six-term exact cohomology sequence is extended to a nine-term exact sequence of cohomology up to dimension 2.

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7

Thomas, C. B. "COHOMOLOGY OF FINITE GROUPS". Bulletin of the London Mathematical Society 29, n. 1 (gennaio 1997): 121–23. http://dx.doi.org/10.1112/blms/29.1.121.

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8

Hiller, Howard. "Cohomology of Bieberbach groups". Mathematika 32, n. 1 (giugno 1985): 55–59. http://dx.doi.org/10.1112/s002557930001086x.

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9

Huebschmann, Johannes. "Cohomology of metacyclic groups". Transactions of the American Mathematical Society 328, n. 1 (1 gennaio 1991): 1–72. http://dx.doi.org/10.1090/s0002-9947-1991-1031239-1.

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10

Pirashvili, Mariam. "Symmetric cohomology of groups". Journal of Algebra 509 (settembre 2018): 397–418. http://dx.doi.org/10.1016/j.jalgebra.2018.05.020.

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11

Concini, C. de, e M. Salvetti. "Cohomology of Artin Groups". Mathematical Research Letters 3, n. 2 (1996): 293–97. http://dx.doi.org/10.4310/mrl.1996.v3.n2.a13.

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12

Bertuccioni, Inta. "Brauer groups and cohomology". Archiv der Mathematik 84, n. 5 (maggio 2005): 406–11. http://dx.doi.org/10.1007/s00013-004-1202-0.

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13

Dokuchaev, M., e M. Khrypchenko. "Partial cohomology of groups". Journal of Algebra 427 (aprile 2015): 142–82. http://dx.doi.org/10.1016/j.jalgebra.2014.11.030.

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14

Salvetti, Mario. "Cohomology of Coxeter groups". Topology and its Applications 118, n. 1-2 (febbraio 2002): 199–208. http://dx.doi.org/10.1016/s0166-8641(01)00051-7.

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15

Puls, Michael J. "Group Cohomology and Lp-Cohomology of Finitely Generated Groups". Canadian Mathematical Bulletin 46, n. 2 (1 giugno 2003): 268–76. http://dx.doi.org/10.4153/cmb-2003-027-x.

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Abstract (sommario):

AbstractLet G be a finitely generated, infinite group, let p > 1, and let Lp(G) denote the Banach space . In this paper we will study the first cohomology group of G with coefficients in Lp(G), and the first reduced Lp-cohomology space of G. Most of our results will be for a class of groups that contains all finitely generated, infinite nilpotent groups.

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16

Covez, Simon. "On the conjectural Leibniz cohomology for groups". Journal of K-theory 10, n. 3 (30 novembre 2012): 519–63. http://dx.doi.org/10.1017/is011011011jkt195.

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AbstractThis article presents results which are consistent with conjectures about Leibniz (co)homology for discrete groups, due to J. L. Loday in 2003. We prove that rack cohomology has properties very close to the properties expected for the conjectural Leibniz cohomology. In particular, we prove the existence of a graded dendriform algebra structure on rack cohomology, and we construct a graded associative algebra morphism H•(−) → HR•(−) from group cohomology to rack cohomology which is injective for ● = 1.

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17

Pakianathan, Jonathan, e Sarah Witherspoon. "Hochschild cohomology and Linckelmann cohomology for blocks of finite groups". Journal of Pure and Applied Algebra 178, n. 1 (febbraio 2003): 87–100. http://dx.doi.org/10.1016/s0022-4049(02)00189-5.

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18

Concini, C. de, e M. Salvetti. "Cohomology of Coxeter groups and Artin groups". Mathematical Research Letters 7, n. 2 (2000): 213–32. http://dx.doi.org/10.4310/mrl.2000.v7.n2.a7.

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19

Davis, Michael W., Jan Dymara, Tadeusz Januszkiewicz e Boris Okun. "WeightedL2–cohomology of Coxeter groups". Geometry & Topology 11, n. 1 (24 febbraio 2007): 47–138. http://dx.doi.org/10.2140/gt.2007.11.47.

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20

Hiller, Howard. "Crystallography and Cohomology of Groups". American Mathematical Monthly 93, n. 10 (dicembre 1986): 765. http://dx.doi.org/10.2307/2322930.

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21

Bogomolov, Fedor, e Tihomir Petrov. "Unramified cohomology of alternating groups". Central European Journal of Mathematics 9, n. 5 (5 luglio 2011): 936–48. http://dx.doi.org/10.2478/s11533-011-0061-8.

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22

Kühnlein, Stefan. "Cohomology sets inside arithmetic groups". Acta Arithmetica 107, n. 1 (2003): 27–33. http://dx.doi.org/10.4064/aa107-1-3.

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23

Ginot, Grégory, e Ping Xu. "Cohomology of Lie $2$-groups". L’Enseignement Mathématique 55, n. 3 (2009): 373–96. http://dx.doi.org/10.4171/lem/55-3-8.

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24

Davesh MAULIK e Andrei OKOUNKOV. "Quantum groups and quantum cohomology". Astérisque 408 (2019): 1–212. http://dx.doi.org/10.24033/ast.1074.

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25

Lee, Kee-Young. "COHOMOLOGY AND TRIVIAL GOTTLIEB GROUPS". Communications of the Korean Mathematical Society 21, n. 1 (1 gennaio 2006): 185–91. http://dx.doi.org/10.4134/ckms.2006.21.1.185.

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26

Choi, Eun-Mi. "COHOMOLOGY GROUPS OF RADICAL EXTENSIONS". Journal of the Korean Mathematical Society 44, n. 1 (31 gennaio 2007): 151–67. http://dx.doi.org/10.4134/jkms.2007.44.1.151.

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27

Kabbaj, Noureddine, e Edward C. Turner. "Cohomology Rings of Aspherical Groups". Bulletin of the London Mathematical Society 20, n. 1 (gennaio 1988): 29–33. http://dx.doi.org/10.1112/blms/20.1.29.

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28

Benson, D. J., e Jon F. Carlson. "The Cohomology of Extraspecial Groups". Bulletin of the London Mathematical Society 24, n. 3 (maggio 1992): 209–35. http://dx.doi.org/10.1112/blms/24.3.209.

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29

Nair, Arvind. "Weighted Cohomology of Arithmetic Groups". Annals of Mathematics 150, n. 1 (luglio 1999): 1. http://dx.doi.org/10.2307/121096.

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30

Mineyev, I. "Bounded Cohomology Characterizes Hyperbolic Groups". Quarterly Journal of Mathematics 53, n. 1 (1 marzo 2002): 59–73. http://dx.doi.org/10.1093/qjmath/53.1.59.

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31

Cegarra, A. M., e L. Fernández. "Cohomology of cofibred categorical groups". Journal of Pure and Applied Algebra 143, n. 1-3 (novembre 1999): 107–54. http://dx.doi.org/10.1016/s0022-4049(98)00109-1.

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32

Arkhipov, S. M. "Semiinfinite Cohomology of Quantum Groups". Communications in Mathematical Physics 188, n. 2 (1 settembre 1997): 379–405. http://dx.doi.org/10.1007/s002200050170.

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33

Kaneda, Masaharu, Nobuo Shimada, Michishige Tezuka e Nobuaki Yagita. "Cohomology of infinitesimal algebraic groups". Mathematische Zeitschrift 205, n. 1 (settembre 1990): 61–95. http://dx.doi.org/10.1007/bf02571225.

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34

Adem, A., e D. Karagueuzian. "Essential cohomology of finite groups". Commentarii Mathematici Helvetici 72, n. 1 (maggio 1997): 101–9. http://dx.doi.org/10.1007/pl00000361.

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35

Hiller, Howard. "Crystallography and Cohomology of Groups". American Mathematical Monthly 93, n. 10 (dicembre 1986): 765–79. http://dx.doi.org/10.1080/00029890.1986.11971943.

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36

Linnell, P. A. "Cohomology of finite soluble groups". Journal of Algebra 107, n. 1 (aprile 1987): 53–62. http://dx.doi.org/10.1016/0021-8693(87)90072-x.

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37

Völklein, Helmut. "1-Cohomology of Chevalley groups". Journal of Algebra 127, n. 2 (dicembre 1989): 353–72. http://dx.doi.org/10.1016/0021-8693(89)90257-3.

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38

Kim, Jae Moon. "Cohomology groups of cyclotomic units". Journal of Algebra 152, n. 2 (novembre 1992): 514–19. http://dx.doi.org/10.1016/0021-8693(92)90046-o.

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39

Cegarra, A. M., J. M. García-Calcines e J. A. Ortega. "Cohomology of groups with operators". Homology, Homotopy and Applications 4, n. 1 (2002): 1–23. http://dx.doi.org/10.4310/hha.2002.v4.n1.a1.

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40

Hoshi, Akinari, Ming-chang Kang e Aiichi Yamasaki. "Degree three unramified cohomology groups". Journal of Algebra 458 (luglio 2016): 120–33. http://dx.doi.org/10.1016/j.jalgebra.2016.03.016.

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41

Robinson, Derek J. S. "Cohomology of locally nilpotent groups". Journal of Pure and Applied Algebra 48, n. 1-2 (settembre 1987): 281–300. http://dx.doi.org/10.1016/0022-4049(87)90116-2.

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42

Linnell, P. A., e U. Stammbach. "The cohomology ofp-constrained groups". Journal of Pure and Applied Algebra 49, n. 3 (dicembre 1987): 273–79. http://dx.doi.org/10.1016/0022-4049(87)90135-6.

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43

Peterson, C., e N. Yagita. "Rational cohomology of Witt groups". Mathematische Zeitschrift 224, n. 4 (18 aprile 1997): 665–76. http://dx.doi.org/10.1007/pl00004594.

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44

Totaro, Burt. "Cohomology of Semidirect Product Groups". Journal of Algebra 182, n. 2 (giugno 1996): 469–75. http://dx.doi.org/10.1006/jabr.1996.0181.

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45

Opolka, H. "Group Extensions and Cohomology Groups". Journal of Algebra 156, n. 1 (aprile 1993): 178–82. http://dx.doi.org/10.1006/jabr.1993.1068.

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46

Dupre, A. M. "Combinatorial Extension Cohomology I. Groups". Advances in Mathematics 106, n. 1 (giugno 1994): 96–117. http://dx.doi.org/10.1006/aima.1994.1050.

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47

Cegarra, A. M., e A. R. Garzón. "Equivariant Brauer groups and cohomology". Journal of Algebra 296, n. 1 (febbraio 2006): 56–74. http://dx.doi.org/10.1016/j.jalgebra.2005.11.032.

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48

Symonds, Peter. "On cohomology isomorphisms of groups". Journal of Algebra 313, n. 2 (luglio 2007): 802–10. http://dx.doi.org/10.1016/j.jalgebra.2007.02.054.

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49

Seidel, Paul. "Formal groups and quantum cohomology". Geometry & Topology 27, n. 8 (9 novembre 2023): 2937–3060. http://dx.doi.org/10.2140/gt.2023.27.2937.

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50

KYED, DAVID, e HENRIK DENSING PETERSEN. "POLYNOMIAL COHOMOLOGY AND POLYNOMIAL MAPS ON NILPOTENT GROUPS". Glasgow Mathematical Journal 62, n. 3 (2 ottobre 2019): 706–36. http://dx.doi.org/10.1017/s0017089519000429.

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Abstract (sommario):

AbstractWe introduce a refined version of group cohomology and relate it to the space of polynomials on the group in question. We show that the polynomial cohomology with trivial coefficients admits a description in terms of ordinary cohomology with polynomial coefficients, and that the degree one polynomial cohomology with trivial coefficients admits a description directly in terms of polynomials. Lastly, we give a complete description of the polynomials on a connected, simply connected nilpotent Lie group by showing that these are exactly the maps that pull back to classical polynomials via the exponential map.

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