Denominator identities for the periplectic Lie superalgebra

Crystal Hoyt; Mee Seong Im; Shifra Reif

doi:10.1016/j.jalgebra.2020.09.030

Denominator identities for the periplectic Lie superalgebra

Crystal Hoyt, Mee Seong Im, Shifra Reif

Department of Mathematics

Bar-Ilan University

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

Abstract

We prove denominator identities for the periplectic Lie superalgebra p(n), thereby completing the problem of finding denominator identities for all simple classical finite-dimensional Lie superalgebras.

Original language	English
Pages (from-to)	459-474
Number of pages	16
Journal	Journal of Algebra
Volume	567
DOIs	https://doi.org/10.1016/j.jalgebra.2020.09.030
State	Published - 1 Feb 2021

Keywords

Denominator identity
Kac modules
Kac–Wakimoto character formula
Periplectic Lie superalgebra
Supercharacters
Weyl character formula

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2020.09.030License: Other

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title = "Denominator identities for the periplectic Lie superalgebra",

abstract = "We prove denominator identities for the periplectic Lie superalgebra p(n), thereby completing the problem of finding denominator identities for all simple classical finite-dimensional Lie superalgebras.",

keywords = "Denominator identity, Kac modules, Kac–Wakimoto character formula, Periplectic Lie superalgebra, Supercharacters, Weyl character formula",

author = "Crystal Hoyt and Im, {Mee Seong} and Shifra Reif",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2021",

month = feb,

day = "1",

doi = "10.1016/j.jalgebra.2020.09.030",

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T1 - Denominator identities for the periplectic Lie superalgebra

AU - Hoyt, Crystal

AU - Im, Mee Seong

AU - Reif, Shifra

PY - 2021/2/1

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N2 - We prove denominator identities for the periplectic Lie superalgebra p(n), thereby completing the problem of finding denominator identities for all simple classical finite-dimensional Lie superalgebras.

AB - We prove denominator identities for the periplectic Lie superalgebra p(n), thereby completing the problem of finding denominator identities for all simple classical finite-dimensional Lie superalgebras.

KW - Denominator identity

KW - Kac modules

KW - Kac–Wakimoto character formula

KW - Periplectic Lie superalgebra

KW - Supercharacters

KW - Weyl character formula

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U2 - 10.1016/j.jalgebra.2020.09.030

DO - 10.1016/j.jalgebra.2020.09.030

M3 - مقالة

SN - 0021-8693

VL - 567

SP - 459

EP - 474

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Denominator identities for the periplectic Lie superalgebra

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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