Structure of Lie superalgebras of block type related to locally finite derivations

被引：11

作者：

Su, YC ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2003年 / 31卷 / 04期

基金：

美国国家科学基金会;

关键词：

Lie superalgebras of Block type; derivation; 2-cocycle; isomorphism class;

D O I：

10.1081/AGB-120018505

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Xu introduced a class of infinite dimensional simple Lie superalgebras which are generalizations of the Block algebras. These Lie superalgebras are constructed based on some locally finite derivations and are in general nongraded. In this paper, the derivation superalgebras, the 2-cocycles and the isomorphism classes of these Lie superalgebras are determined.

引用

页码：1725 / 1751

页数：27

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