On Blocks in Restricted Representations of Lie Superalgebras of Cartan Type  

作　　者：Fei Fei DUAN Bin SHU Yu Feng YAO 

机构地区：[1]School of Mathematical Sciences,Hebei Normal University,Shijiazhuang 050024,P.R.China [2]School of Mathematical Sciences,East China Normal University,Shanghai 200241,P.R.China [3]Department of Mathematics,Shanghai Maritime University,Shanghai 201306,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2020年第9期1061-1075,共15页数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11601116;11671138 and 11771279);Shanghai Key Laboratory of PMMP(Grant No.13dz2260400);the Scientific Research Foundation of Hebei Education Department(Grant No.QN2017090);the Doctoral Foundation of Hebei Normal University(Grant No.L2016B02);We thank the referees for their helpful comments.

摘　　要：Let g be a restricted Lie superalgebra of Cartan type W(n),S(n)or H(n)over an alge-braically closed field k of prime characteristic p>3,in the sense of modular version of Kac's definition in 1977.In this note,we show that the restricted representation category over g has only one block(reckoning parities in).This phenomenon is very diff erent from the case of characteristic zero.

关 键 词：LIE SUPERALGEBRA of CARTAN TYPE RESTRICTED representation block 

分 类 号：O152.5[理学—数学]