Snowflake modules and Enright functor for Kac-Moody superalgebras
Representation Theory
2022-08-17 v1
Abstract
We introduce a class of modules over Kac-Moody superalgebras; we call these modules snowflake. These modules are characterized by invariance property of their characters with respect to a certain subgroup of the Weyl group. Examples of snowflake modules appear as admissible modules in representation theory of affine vertex algebras and in classification of bounded weight modules. Using these modules we prove Arakawa's Theorem for the Lie superalgebra osp(1|2n).
Keywords
Cite
@article{arxiv.1906.07074,
title = {Snowflake modules and Enright functor for Kac-Moody superalgebras},
author = {Maria Gorelik and Vera Serganova},
journal= {arXiv preprint arXiv:1906.07074},
year = {2022}
}