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

Ben-Gurion University of the Negev

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

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	American 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

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Applied Mathematics

Access to Document

10.1142/S0219498821400156

Cite this

@article{5b6dd705bffb42688472d7ab7e5d466e,

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.",

keywords = "Kac-Wakimoto conjecture, Periplectic superalgebra, translation functor",

author = "Inna Entova-Aizenbud and Vera Serganova",

note = "Publisher Copyright: {\textcopyright} 2021 World Scientific Publishing Company.",

year = "2021",

month = jan,

day = "1",

doi = "10.1142/S0219498821400156",

language = "American English",

volume = "20",

journal = "Journal of Algebra and its Applications",

issn = "0219-4988",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "1",

}

TY - JOUR

T1 - Kac-Wakimoto conjecture for the periplectic Lie superalgebra

AU - Entova-Aizenbud, Inna

AU - Serganova, Vera

PY - 2021/1/1

Y1 - 2021/1/1

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=85096930158&partnerID=8YFLogxK

U2 - 10.1142/S0219498821400156

DO - 10.1142/S0219498821400156

M3 - Article

SN - 0219-4988

VL - 20

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

IS - 1

M1 - 2140015

ER -

Kac-Wakimoto conjecture for the periplectic Lie superalgebra

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this