Kac-Wakimoto conjecture for the periplectic Lie superalgebra

被引：3
|
作者：
Entova-Aizenbud, Inna [1 ]
Serganova, Vera [2 ]
机构：
[1] Ben Gurion Univ Negev, Dept Math, Beer Sheva, Israel
[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2021年 / 20卷 / 01期
基金：
美国国家科学基金会;
关键词：
Periplectic superalgebra; translation functor; Kac-Wakimoto conjecture; REPRESENTATIONS;
D O I：
10.1142/S0219498821400156
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove an analogue of the Kac-Wakimoto conjecture for the periplectic Lie superalgebra ?(n), stating that any simple module lying in a block of non-maximal atypicality has superdimension zero.
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页数：13
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