(Quasi-)admissible modules over symmetrizable Kac-Moody superalgebras
Representation Theory
2025-12-30 v2 Mathematical Physics
math.MP
Abstract
The theory of admissible modules over symmetrizable anisotropic Kac-Moody superalgebras, introduced by Kac and Wakimoto in late 80's, is a well-developed subject with many applications, including representation theory of vertex algebras. Recently this theory was developed in a more general setup by Gorelik and Serganova. In the present paper we develop in this more general setup the theory of admissible modules over arbitrary symmetrizable Kac-Moody superalgebras.
Keywords
Cite
@article{arxiv.2512.00460,
title = {(Quasi-)admissible modules over symmetrizable Kac-Moody superalgebras},
author = {Maria Gorelik and Victor Kac},
journal= {arXiv preprint arXiv:2512.00460},
year = {2025}
}