Denominator identities for the periplectic Lie superalgebra

Crystal Hoyt, Mee Seong Im, Shifra Reif

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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 languageEnglish
Pages (from-to)459-474
Number of pages16
JournalJournal of Algebra
Volume567
DOIs
StatePublished - 1 Feb 2021

Bibliographical note

Funding Information:
The first author has been partially funded by ORT Braude College's Research Authority . The second author acknowledges Department of Mathematics at Bar-Ilan University at Ramat Gan, Israel for excellent working conditions. The second and third authors are partially funded by ISF Grant No. 1221/17 .

Funding Information:
The first author has been partially funded by ORT Braude College's Research Authority. The second author acknowledges Department of Mathematics at Bar-Ilan University at Ramat Gan, Israel for excellent working conditions. The second and third authors are partially funded by ISF Grant No. 1221/17.

Publisher Copyright:
© 2020 Elsevier Inc.

Keywords

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

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