Simple decompositions of simple Lie superalgebras

被引：0

作者：

Tvalavadze, TV ^{[1
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

Non-Associative Algebra and Its Applications | 2006年 / 246卷

关键词：

reductive; (super)algebras; (roots);

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this chapter we completely describe all isomorphism types of decompositions of the simple Lie superalgebra sl(m, n) as the sum of two basic simple subalgebras.

引用

页码：401 / 429

页数：29

共 50 条

[31] Five exceptional simple Lie superalgebras of vector fields
I. M. Shchepochkina
Functional Analysis and Its Applications, 1999, 33 : 208 - 219
[32] Simple Lie superalgebras and nonintegrable distributions in characteristic p
Bouarroudj S.
Leites D.
Journal of Mathematical Sciences, 2007, 141 (4) : 1390 - 1398
[33] Bell's primeness criterion and the simple Lie superalgebras
Wilson, MC
JOURNAL OF PURE AND APPLIED ALGEBRA, 1998, 133 (1-2) : 241 - 260
[34] Super-biderivations of classical simple Lie superalgebras
Yuan, Jixia
Tang, Xiaomin
AEQUATIONES MATHEMATICAE, 2018, 92 (01) : 91 - 109
[35] Super-biderivations of classical simple Lie superalgebras
Jixia Yuan
Xiaomin Tang
Aequationes mathematicae, 2018, 92 : 91 - 109
[36] New simple modular Lie superalgebras as generalized prolongs
S. Bouarroudj
P. Ya. Grozman
D. A. Leites
Functional Analysis and Its Applications, 2008, 42 : 161 - 168
[37] New simple modular Lie superalgebras as generalized prolongs
Bouarroudj, S.
Grozman, P. Ya.
Leites, D. A.
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2008, 42 (03) : 161 - 168
[38] Five exceptional simple Lie superalgebras of vector fields
Shchepochkina, IM
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1999, 33 (03) : 208 - 219
[39] Constructing r-matrices on simple Lie superalgebras
Karaali, G
JOURNAL OF ALGEBRA, 2004, 282 (01) : 83 - 102
[40] Classification of gradings of simple Lie superalgebras of the series A by the root systems of their classical simple subalgebras
Soudarkin, A. V.
RUSSIAN MATHEMATICAL SURVEYS, 2008, 63 (03) : 576 - 578

← 1 2 3 4 5 →