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.

引用

页数：13

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