Finite subgroups of compact Lie groups and maximal exponents of lie algebras

被引：0

作者：

Trofimov V.V.

机构：

来源：

Journal of Mathematical Sciences | 2000年 / 102卷 / 6期

关键词：

Finite Group; Prime Number; Maximal Torus; Regular Element; Integer Lattice;

D O I：

10.1007/BF02673893

中图分类号：

学科分类号：

摘要：

In this paper, the definition of the maximal exponent for Lie algebras corresponding to compact simple Lie groups is given. For this purpose, the imbeddings of finite groups by regular elements in compact Lie groups are used. © 2000 Kluwer Academic/Plenum Publishers.

引用

页码：4667 / 4670

页数：3

共 50 条

[21] ON SYMPLECTIC ACTIONS OF COMPACT LIE-GROUPS WITH ISOTROPY SUBGROUPS OF MAXIMAL RANK
SZENTHE, J
ACTA SCIENTIARUM MATHEMATICARUM, 1983, 45 (1-4): : 381 - 388
[22] MAXIMAL ISOTROPY SUBGROUPS FOR ABSOLUTELY IRREDUCIBLE REPRESENTATIONS OF COMPACT LIE-GROUPS
MELBOURNE, I
NONLINEARITY, 1994, 7 (05) : 1385 - 1393
[23] GROUP ALGEBRAS OF FINITE GROUPS AS LIE ALGEBRAS
Marin, Ivan
COMMUNICATIONS IN ALGEBRA, 2010, 38 (07) : 2572 - 2584
[24] THE LOCAL MAXIMAL-SUBGROUPS OF EXCEPTIONAL GROUPS OF LIE TYPE, FINITE AND ALGEBRAIC
COHEN, AM
LIEBECK, MW
SAXL, J
SEITZ, GM
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1992, 64 : 21 - 48
[25] SPHERICAL SUBGROUPS IN COMPACT CONNECTED LIE GROUPS
KRAMER, M
COMPOSITIO MATHEMATICA, 1979, 38 (02) : 129 - 153
[26] THE ORTHOGONAL SUBGROUPS OF CLASSICAL COMPACT LIE GROUPS
VASILIEV, AM
DOKLADY AKADEMII NAUK SSSR, 1958, 121 (01): : 18 - 21
[27] Commutators and Cartan Subalgebras in Lie Algebras of Compact Semisimple Lie Groups
Malkoun, J.
Nahlus, N.
JOURNAL OF LIE THEORY, 2017, 27 (04) : 1027 - 1032
[28] COMPACT SUBGROUPS OF LIE-GROUPS AND LOCALLY COMPACT-GROUPS
HOFMANN, KH
TERP, C
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 120 (02) : 623 - 634
[29] MULTIPLIER TRANSFORMATIONS ON COMPACT LIE GROUPS AND ALGEBRAS
STRICHARTZ, RS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 193 (JUN) : 99 - 110
[30] SUBGROUPS OF FINITE-GROUPS OF LIE TYPE
SEITZ, GM
JOURNAL OF ALGEBRA, 1979, 61 (01) : 16 - 27

← 1 2 3 4 5 →