Character Formulas for a Class of Simple Restricted Modules over the Simple Lie Superalgebras of Witt Type

作     者：Yu-Feng YAO Yu-Feng YAO

作者机构：Department of MathematicsShanghai Maritime UniversityShanghai 201306China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2020年第41卷第1期

页      面：49-60页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Nos.11771279,11671138) the Natural Science Foundation of Shanghai(No.16ZR1415000) 

主　　题：Restricted Lie superalgebra Witt type Lie superalgebra Restricted representation Typical(atypical) weight Character formula 

摘      要：Let F be an algebraically closed field of prime characteristic, and W(m, n, 1) be the simple restricted Lie superalgebra of Witt type over F, which is the Lie superalgebra of superderivations of the superalgebra ■(m;1) ■∧(n), where ■(m;1) is the truncated polynomial algebra with m indeterminants and ∧(n) is the Grassmann algebra with n indeterminants. In this paper, the author determines the character formulas for a class of simple restricted modules of W(m, n, 1) with atypical weights of type Ⅰ.