A Class of Finite-dimensional Lie Superalgebras of Hamiltonian Type

被引：5

作者：

Ren, Li ^{[1
]}

Mu, Qiang ^{[2
]}

Zhang, Yongzheng ^{[1
]}

机构：

[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[2] Harbin Normal Univ, Sch Math, Harbin 150080, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2011年 / 18卷 / 02期

基金：

中国国家自然科学基金;

关键词：

derivation superalgebra; restricted Lie superalgebra; CARTAN-TYPE; ALGEBRAS; CLASSIFICATION;

D O I：

10.1142/S1005386711000241

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of finite-dimensional Cartan-type Lie superalgebras H(n, m) over a field of prime characteristic is studied in this paper. We first determine the derivation superalgebra of H(n, m). Then we obtain that H(n, m) is restrictable and it is an extension of the Lie superalgebra (H) over tilde (n). Finally, we prove that H(n, m) is isomorphic to a subalgebra of the restricted Hamiltonian Lie superalgebra H(n, m, (1) under bar).

引用

页码：347 / 360

页数：14

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