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MR Zbl EuDMLGeck, Meinolf. Representations of Hecke algebras at roots of unity, dans Séminaire Bourbaki : volume 1997/98, exposés 835-849, Astérisque, no. 252 (1998), Exposé no. 836, 23 p.. http://geodesic.mathdoc.fr/item/SB_1997-1998__40__33_0/
@incollection{SB_1997-1998__40__33_0,
author = {Geck, Meinolf},
title = {Representations of {Hecke} algebras at roots of unity},
booktitle = {S\'eminaire Bourbaki : volume 1997/98, expos\'es 835-849},
series = {Ast\'erisque},
note = {talk:836},
pages = {33--55},
year = {1998},
publisher = {Soci\'et\'e math\'ematique de France},
number = {252},
mrnumber = {1685620},
zbl = {0931.20006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SB_1997-1998__40__33_0/}
}
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[1] and - The representations and generic degrees of the Hecke algebra of type H4, J. reine angew. Math. 336 (1982), 201-212; correction: ibid. 449 (1994), 217-218. | Zbl | MR | EuDML
[2] - On the decomposition numbers of the Hecke algebra of G(m, 1, n), J. Math. Kyoto Univ. 36 (1996), 789-808. | Zbl | MR | DOI
[3] and - A Hecke algebra of (Z/rZ) wreath Gn and construction of its irreducible representations, Advances in Math. 106 (1994), 216-243. | Zbl | MR | DOI
[4] , , - Faisceaux pervers, Astérisque 100 (1982). | Zbl | MR | Numdam
[5] and - On the degrees and rationality of certain characters of finite Chevalley groups, Trans. Amer. Math. Soc. 165 (1972), 251-273; corrections and additions, ibid. 202 (1975), 405-406. | Zbl | MR | DOI
[6] - Groupes et algèbres de Lie, Chap. 4, 5 et 6, Hermann, Paris (1968). | Zbl | MR
[7] - The decomposition numbers of Hecke algebras of type F4 with unequal parameters, Manuscripta Math. 83 (1994), 331-346. | Zbl | MR | EuDML | DOI
[8] and - Zyklotomische Heckealgebren, in: Représentations unipotentes génériques et blocs des groupes réductifs finis, Astérisque 212 (1993), 119-189. | Zbl | MR
[9] - Finite groups of Lie type: Conjugacy classes and complex characters, Wiley, New York (1985). | Zbl | MR
[10] et. al. - Maple V, Language Reference Manual, Springer (1991); see also http://daisy.uwaterloo.ca | Zbl
[11] and - Representation theory and complex geometry, Birkhäuser, Boston (1997). | Zbl | MR
[12] and - Methods of Representation Theory Vol. I and II, Wiley, New York (1981 and 1987). | Zbl | MR
[13] , , , - Transformation groups for soliton equations. Euclidean Lie algebras and reduction of KP hierarchy, Publ. RIMS 18 (1982), 1077-1110. | Zbl | MR | DOI
[14] - Polynomial representations of finite general linear groups in nondescribing characteristic, in: G.O. Michler, C.M. Ringel (ed.), Representation theory of finite groups and finite-dimensional algebras, Progress in Math. 95 (1991), 344- 370, Birkhäuser, Boston. | Zbl | MR
[15] , , , and - Representations of Hecke algebras and finite groups of Lie type, to appear in a proceedings volume on the DFG project "Algorithmic algebra and number theory". | Zbl | MR
[16] and - Representations of Hecke algebras of the general linear groups, Proc. London Math. Soc. 52 (1986), 20-52. | Zbl | MR | DOI
[17] and - The q-Schur algebra, Proc. London Math. Soc. 59 (1989), 23-50. | Zbl | MR | DOI
[18] and - q-Tensor space and q-Weyl modules, Trans. Amer. Math. Soc. 327 (1991), 251-282. | Zbl | MR
[19] , , and - Hecke algebras of type Bn at roots of unity, Proc. London Math. Soc. 70 (1995), 505-528. | Zbl | MR | DOI
[20] - Projective simple modules of symmetric algebras and their specializations with applications to Hecke algebras, Arch. Math. 55 (1990), 247-258. | Zbl | MR | DOI
[21] - Brauer trees of Hecke algebras, Comm. Algebra 20 (1992), 2937-2973. | Zbl | MR | DOI
[22] - The decomposition numbers of the Hecke algebra of type E6, Math. Comp. 61 (1993), 889-899. | Zbl | MR
[23] - Kazhdan-Lusztig cells and decomposition numbers, Represent. Theory 2 (1998), 264-277 (electronic). | Zbl | MR | DOI
[24] and - Modular representations of finite groups of Lie type in non-defining characteristic, in: M. Cabanes (ed.), Finite reductive groups, related structures and representations, Progress in Math. 141 (1997), 195-249, Birkhäuser, Boston. | Zbl | MR
[25] and - The decomposition numbers of the Hecke algebra of type F4, Manuscripta Math. 70 (1991), 285-306. | Zbl | MR | EuDML | DOI
[26] and - On the irreducible characters of Hecke algebras, Advances in Math. 102 (1993), 79-94. | Zbl | MR | DOI
[27] and - Centers and simple modules for Iwahori-Hecke algebras, in: M. Cabanes (ed.), Finite reductive groups, related structures and representations, Progress in Math. 141 (1997), 251-272, Birkhäuser, Boston. | Zbl | MR
[28] - Representations of affine Hecke algebras (and quantum GLn) at roots of unity, Internat. Math. Research Notices 5 (1994), 215-217. | Zbl | MR | DOI
[29] and - Decomposition numbers of finite classical groups for linear primes, J. reine angew. Math. 485 (1997), 55-91. | Zbl | MR | EuDML
[30] - Modular representation theory over a ring of higher dimension with applications to Hecke algebras, J. Algebra 174 (1995), 553-572. | Zbl | MR | DOI
[31] - Cells and modular representations of Hecke algebras, Osaka J. Math. 33 (1996), 307-341. | Zbl | MR
[32] - The decomposition matrices of GLn(q) for n ≤ 10, Proc. London Math. Soc. 60 (1990), 225-265. | Zbl | DOI
[33] and - The representation theory of the symmetric group, Encyclopedia Math. 16, Addison-Wesley (1981). | Zbl | MR
[34] and - Hecke algebras of type A with q = -1, J. Algebra 184 (1996), 102-158. | Zbl | MR | DOI
[35] and - A q-analogue of the Jantzen-Schaper theorem, Proc. London Math. Soc. 74 (1997), 241-274. | Zbl | MR | DOI
[36] - Hecke algebra representations of braid groups and link polynomials, Annals Math. 126 (1987), 335-388. | Zbl | MR | DOI
[37] - Infinite dimensional Lie algebras, Cambridge University Press (1985). | Zbl | MR
[38] and - Proof of the Deligne-Langlands conjecture for Hecke algebras, Invent. Math. 87 (1987), 153-215. | Zbl | MR | EuDML | DOI
[39] , and - Hecke algebras at roots of unity and crystal bases of quantum affine algebras, Comm. Math. Physics 181 (1996), 205-263; see also the announcement in C. R. Acad. Sci. Paris 321 (1995), 511-516. | Zbl | MR | DOI
[40] and - Canonical bases of q-deformed Fock spaces, Internat. Math. Research Notices 9 (1996), 447-456. | Zbl | MR | DOI
[41] - On a theorem of Benson and Curtis, J. Algebra 71 (1981), 490-498. | Zbl | MR | DOI
[42] - Quivers, perverse sheaves and quantized enveloping algebras, J. Amer. Math. Soc. 4 (1991), 365-421. | Zbl | MR | DOI
[43] - Affine quivers and canonical bases, Publ. Math. IHES 76 (1992), 111-163. | Numdam | Zbl | MR | EuDML | DOI
[44] - Classification of unipotent representations of simple p-adic groups, Internat. Math. Research Notices 11 (1995), 517-589. | Zbl | MR | DOI
[45] - Canonical bases and the decomposition matrices of Ariki-Koike alge- bras, preprint (1996).
[46] - Bases des représentations des groupes simples complexes (d'après Kashiwara, Lusztig, Ringel et al.), Sém. Bourbaki, 1990-91, exposé n° 743, Astérisque 201-202-203 (1991), 421-442. | Numdam | Zbl | MR | EuDML
[47] - Commutative ring theory, Cambridge Studies in Advanced Math. 8, Cambridge Univerisity Press (1986). | Zbl | MR
[48] and - Crystal base of the basic representation of Uq(SLn), Comm. Math. Physics 134 (1990), 79-88. | Zbl | MR
[49] - Zerlegungszahlen für generische Iwahori-Hecke-Algebren von exzeptionellem Typ, Dissertation, RWTH Aachen (1995). | Zbl
[50] - Decomposition numbers for generic Iwahori-Hecke algebras of non crystallographic type, J. Algebra 189 (1997), 125-149. | Zbl | MR | DOI
[51] - Representations of Hecke algebras of type Dn, J. Algebra 169 (1994), 20-48. | Zbl | MR | DOI
[52] et al. - GAP - Groups, algorithms, and programming, Lehrstuhl D für Mathematik, RWTH Aachen (1994), http://www.math.rwth-aachen.de/LDFM
[53] - Conjectures de Lusztig, Sém. Bourbaki, 1994-95, exposé n° 793, Astérisque 237 (1996), 75-85. | Numdam | Zbl | MR | EuDML
[54] - ACE - An algebraic combinatorics environment for the computer algebra system MAPLE, User's reference manual, Version 2.0, Institut Gaspard Monge (1996), http://weyl.univ-mlv.fr/~sv/ACE.
[55] and - Canonical bases and the Lusztig conjecture for quantized SL(n) at roots of unity, preprint (1998).
[56] - A propos d'une conjecture de Langlands modulaire, in: M. Cabanes (ed.), Finite reductive groups, related structures and representations, Progress in Math. 141 (1997), 415 - 452, Birkhäuser, Boston. | Zbl | MR