ON REPRESENTATIONS OF RESTRICTED LIE SUPERALGEBRAS

被引：1
|
作者：
Yao, Yu-Feng [1 ]
机构：
[1] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2014年 / 64卷 / 03期
基金：
中国国家自然科学基金;
关键词：
restricted Lie superalgebra; chi-reduced representation; indecomposable module; simple module; p-character; MODULAR-REPRESENTATIONS; ALGEBRAS;
D O I：
10.1007/s10587-014-0137-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Simple modules for restricted Lie superalgebras are studied. The indecomposability of baby Kac modules and baby Verma modules is proved in some situation. In particular, for the classical Lie superalgebra of type A(n vertical bar 0), the baby Verma modules Z(chi)(lambda) are proved to be simple for any regular nilpotent p-character chi and typical weight lambda. Moreover, we obtain the dimension formulas for projective covers of simple modules with p-characters of standard Levi form.
引用
收藏
页码：845 / 856
页数：12
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