Projective representations of generalized reduced enveloping algebras

被引：1

作者：

Li, Yi-Yang ^{[1
]}

Shu, Bin ^{[2
]}

Yao, Yu-Feng ^{[3
]}

机构：

[1] Shanghai Univ Engn Sci, Sch Fundamental Studies, Shanghai 201620, Peoples R China

[2] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

[3] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2015年 / 219卷 / 05期

基金：

中国国家自然科学基金;

关键词：

REDUCTIVE LIE-ALGEBRAS; MODULAR-REPRESENTATIONS; FILTRATIONS;

D O I：

10.1016/j.jpaa.2014.07.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a connected reductive algebraic group over an algebraically closed field of characteristic p > 0, and g = Lie(G). Let chi is an element of g* be of standard Levi form. In this paper, we study projective representations of U-chi(s) (g) which is a so-called "higher" reduced enveloping algebra. A reciprocity law on the relation among projective indecomposables, Verma modules and irreducible modules is given. Moreover, a characterization of projective U-chi(s) (g)-modules in terms of filtrations is given. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：1645 / 1656

页数：12

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