Kac-Wakimoto conjecture for the periplectic Lie superalgebra

Inna Entova-Aizenbud; Vera Serganova

doi:10.1142/S0219498821400156

Kac-Wakimoto conjecture for the periplectic Lie superalgebra

Inna Entova-Aizenbud, Vera Serganova

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English
Article number	2140015
Journal	Journal of Algebra and its Applications
Volume	20
Issue number	1
DOIs	https://doi.org/10.1142/S0219498821400156
State	Published - 1 Jan 2021

Keywords

Kac-Wakimoto conjecture
Periplectic superalgebra
translation functor

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

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10.1142/S0219498821400156

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title = "Kac-Wakimoto conjecture for the periplectic Lie superalgebra",

abstract = "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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AU - Serganova, Vera

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AB - 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.

KW - Kac-Wakimoto conjecture

KW - Periplectic superalgebra

KW - translation functor

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Kac-Wakimoto conjecture for the periplectic Lie superalgebra

Abstract

Keywords

ASJC Scopus subject areas

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