English

Kac-Wakimoto conjecture for the periplectic Lie superalgebra

Representation Theory 2019-05-14 v1

Abstract

We prove the Kac-Wakimoto conjecture for the periplectic Lie superalgebra p(n)\mathfrak{p}(n), stating that any simple module lying in a block of non-maximal atypicality has superdimension zero.

Keywords

Cite

@article{arxiv.1905.04712,
  title  = {Kac-Wakimoto conjecture for the periplectic Lie superalgebra},
  author = {Inna Entova-Aizenbud and Vera Serganova},
  journal= {arXiv preprint arXiv:1905.04712},
  year   = {2019}
}

Comments

Preliminary version. arXiv admin note: text overlap with arXiv:1807.09478