LIE-SUPERALGEBRAS WITH BOUNDED DEGREES OF IRREDUCIBLE REPRESENTATIONS

被引：1

作者：

BAKHTURIN, YA

机构：

来源：

MATHEMATICS OF THE USSR-SBORNIK | 1990年 / 66卷 / 01期

关键词：

D O I：

10.1070/SM1990v066n01ABEH001170

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A complete description is given of Lie superalgebras over uncountablefields of characteristic zero with all irreducible representations of finite bounded degree.The even component of such an algebra must be abelian of dimension less than the cardinality of the field, whereas the odd component must contain a submodule of finite codimension with zero multiplication. This condition is also sufficient. © 1990 American Mathematical Society.

引用

页码：199 / 209

页数：11