English

Bounded highest weight modules of q(n)

Representation Theory 2013-06-26 v2 Rings and Algebras

Abstract

A classification of the simple highest weight bounded modules of the queer Lie superalgebras q(n) is obtained. To achieve this classification we introduce a new combinatorial tool - the star action. Our result leads in particular to a classification of all simple weight q(n)-modules.

Keywords

Cite

@article{arxiv.1212.6656,
  title  = {Bounded highest weight modules of q(n)},
  author = {Maria Gorelik and Dimitar Grantcharov},
  journal= {arXiv preprint arXiv:1212.6656},
  year   = {2013}
}

Comments

40 pages, some corrections made to the earlier version. To appear in IMRN

R2 v1 2026-06-21T23:01:34.833Z