ON THE SECOND COHOMOLOGY GROUPS OF EXCEPTIONAL LIE ALGEBRAS IN POSITIVE CHARACTERISTIC

被引：0
作者：
Ibraev, S. S. [1 ]
机构：
[1] Bolashak Univ, 31A Abai St, Kyzylorda 120000, Kazakhstan
来源：
EURASIAN MATHEMATICAL JOURNAL | 2011年 / 2卷 / 01期
关键词：
exceptional Lie algebra; Weyl module; algebraic group;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The second cohomology groups of exceptional Lie algebras E-n (n = 6, 7, 8), F-4, G(2) over an algebraically closed field of characteristic p >= h + 5 with coefficients in modules, dual to Weyl modules, are explicitly described. Here h is the Coxeter number.
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页码：104 / 111
页数：8
相关论文
共 12 条
  • [1] COHOMOLOGY OF INDUCED REPRESENTATIONS FOR ALGEBRAIC-GROUPS
    ANDERSEN, HH
    JANTZEN, JC
    [J]. MATHEMATISCHE ANNALEN, 1984, 269 (04) : 487 - 525
  • [2] Second cohomology groups for Frobenius kernels and related structures
    Bendel, Christopher P.
    Nakano, Daniel K.
    Pillen, Cornelius
    [J]. ADVANCES IN MATHEMATICS, 2007, 209 (01) : 162 - 197
  • [3] Bourbaki N., 1968, GROUPES ALGEBRES LIE
  • [4] CO-HOMOLOGY, HYPERALGEBRAS, AND REPRESENTATIONS
    CLINE, E
    PARSHALL, B
    SCOTT, L
    [J]. JOURNAL OF ALGEBRA, 1980, 63 (01) : 98 - 123
  • [5] Dzhumadildaev A.S., 2002, HOMOLOGY HOMOTOPY AP, V4, P141, DOI 10.4310/HHA.2002.v4.n2.a7
  • [6] ON THE CO-HOMOLOGY OF ALGEBRAIC AND RELATED FINITE-GROUPS
    FRIEDLANDER, EM
    PARSHALL, BJ
    [J]. INVENTIONES MATHEMATICAE, 1983, 74 (01) : 85 - 117
  • [7] COHOMOLOGY OF LIE-ALGEBRAS AND ALGEBRAIC-GROUPS
    FRIEDLANDER, EM
    PARSHALL, BJ
    [J]. AMERICAN JOURNAL OF MATHEMATICS, 1986, 108 (01) : 235 - 253
  • [8] Hochschild G., 1954, AM J MATH, V76, P555, DOI 10.2307/2372701
  • [9] Jantzen J. C., 1987, PURE APPL MATH, V131
  • [10] JANTZEN JC, 1991, PROG MATH, V95, P289
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