Some subalgebras of indefinite type Kac-Moody Lie algebras

被引：0

作者：

Bhargava, Sandeep ^{[1
]}

Zeng, Ziting ^{[2
]}

机构：

[1] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada

[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2008年 / 212卷 / 05期

关键词：

D O I：

10.1016/j.jpaa.2007.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that every Kac-Moody Lie algebra of indefinite type contains a subalgebra with a Dynkin diagram having two adjacent vertices whose edge labels multiply to a number greater than or equal to five. Consequently, every Kac-Moody algebra of indefinite type contains a subalgebra of strictly hyperbolic type, and a free Lie algebra of rank two. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：1105 / 1115

页数：11

共 50 条

[31] THE JORDAN STRUCTURE OF LIE AND KAC-MOODY ALGEBRAS
FERREIRA, LA
GOMES, JF
SOBRINHO, PT
ZIMERMAN, AH
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (19): : 5071 - 5088
[32] A characterization of affine Kac-Moody lie algebras
Allison, BN
Berman, S
Gao, Y
Pianzola, A
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 185 (03) : 671 - 688
[33] PROJECTIONS IN KAC-MOODY LIE-ALGEBRAS
MISRA, KC
PUTCHA, MS
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 116 (02) : 351 - 359
[34] Double extensions of Lie algebras of Kac-Moody type and applications to some hamiltonian systems
C. Roger
[J]. Theoretical and Mathematical Physics, 2013, 174 : 315 - 330
[35] Double extensions of Lie algebras of Kac-Moody type and applications to some hamiltonian systems
Roger, C.
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2013, 174 (03) : 315 - 330
[36] Koszul modules of Kac-Moody Lie algebras
Chmiel, Tymoteusz
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2024, 228 (07)
[37] A Characterization of Affine Kac-Moody Lie Algebras
Bruce N. Allison
Stephen Berman
Yun Gao
Arturo Pianzola
[J]. Communications in Mathematical Physics, 1997, 185 : 671 - 688
[38] SOME FORMS OF KAC-MOODY ALGEBRAS
ANDRUSKIEWITSCH, N
[J]. JOURNAL OF ALGEBRA, 1992, 147 (02) : 324 - 344
[39] Weight sets of irreducible integrable representations of Kac-Moody algebras of indefinite type
Zhao, KM
[J]. COMMUNICATIONS IN ALGEBRA, 1996, 24 (14) : 4373 - 4383
[40] Absolutely indecomposable representations and Kac-Moody Lie algebras
Crawley-Boevey, W
Van den Bergh, M
[J]. INVENTIONES MATHEMATICAE, 2004, 155 (03) : 537 - 559

← 1 2 3 4 5 →