Block representation type of reduced enveloping algebras

被引：17

作者：

Gordon, I

Premet, A

机构：

[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

[2] Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 354卷 / 04期

关键词：

D O I：

10.1090/S0002-9947-01-02826-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be an algebraically closed field of characteristic p, G a connected, reductive K-group, g = Lie(G), chi is an element of g* and Uchi(g) the reduced enveloping algebra of g associated with chi. Assume that G((1)) is simply-connected, p is good for G and g has a non-degenerate G-invariant bilinear form. All blocks of Uchi(g) having finite and tame representation type are determined.

引用

页码：1549 / 1581

页数：33

共 50 条

[1] Filtrations on block subalgebras of reduced enveloping algebras
Ionov, Andrei
Pentland, Dylan
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022, 21 (12)
[2] Blocks of finite type in reduced enveloping algebras for classical Lie algebras
Nakano, DK
Pollack, RD
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2000, 61 : 374 - 394
[3] On idempotents in reduced enveloping algebras
Seligman, GB
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (08) : 3291 - 3300
[4] Centers of reduced enveloping algebras
Ivan Mirković
Dmitriy Rumynin
[J]. Mathematische Zeitschrift, 1999, 231 : 123 - 132
[5] Centers of reduced enveloping algebras
Mirkovic, I
Rumynin, D
[J]. MATHEMATISCHE ZEITSCHRIFT, 1999, 231 (01) : 123 - 132
[6] Representation type for block algebras of Hecke algebras of classical type
Ariki, Susumu
[J]. ADVANCES IN MATHEMATICS, 2017, 317 : 823 - 845
[7] Generic Semisimplicity of Reduced Enveloping Algebras
Skryabin, Serge
[J]. LIE ALGEBRAS AND RELATED TOPICS, 2015, 652 : 153 - 171
[8] COHOMOLOGY GROUPS OF REDUCED ENVELOPING-ALGEBRAS
FARNSTEINER, R
[J]. MATHEMATISCHE ZEITSCHRIFT, 1991, 206 (01) : 103 - 117
[9] Analogues of Weylls formula for reduced enveloping algebras
Humphreys, JE
[J]. EXPERIMENTAL MATHEMATICS, 2002, 11 (04) : 567 - 573
[10] Projective representations of generalized reduced enveloping algebras
Li, Yi-Yang
Shu, Bin
Yao, Yu-Feng
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2015, 219 (05) : 1645 - 1656

← 1 2 3 4 5 →