Low degree morphisms of E(5,10)-generalized verma modules
Representation Theory
2019-03-28 v1
Abstract
In this paper we face the study of the representations of the exceptional Lie superalgebra E(5,10). We recall the construction of generalized Verma modules and give a combinatorial description of the restriction to sl_5 of the Verma module induced by the trivial representation. We use this description to classify morphisms between Verma modules of degree one, two and three proving in these cases a conjecture given by Rudakov. A key tool is the notion of dual morphism between Verma modules.
Cite
@article{arxiv.1903.11438,
title = {Low degree morphisms of E(5,10)-generalized verma modules},
author = {Nicoletta Cantarini and Fabrizio Caselli},
journal= {arXiv preprint arXiv:1903.11438},
year = {2019}
}
Comments
35 pages