Classification of degenerate Verma modules over $E(4,4)$
Representation Theory
2026-03-18 v1
Abstract
In this paper we classify degenerate Verma modules over the linearly compact Lie superalgebra . This completes the description of Verma modules over the exceptional linearly compact Lie superalgebras. As in the other cases all degenerate modules and morphisms between them give rise to infinite bilateral complexes which may be viewed as a generalization of de Rham complexes.
Keywords
Cite
@article{arxiv.2603.16507,
title = {Classification of degenerate Verma modules over $E(4,4)$},
author = {Nicoletta Cantarini and Fabrizio Caselli and Victor Kac},
journal= {arXiv preprint arXiv:2603.16507},
year = {2026}
}
Comments
44 pages