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arXiv · 1903.11438

Low degree morphisms of E(5,10)-generalized verma modules

Nicoletta Cantarini·Fabrizio Caselli
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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.

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BibTeXRIS

Nicoletta Cantarini, Fabrizio Caselli. 2019-03-27. Low degree morphisms of E(5,10)-generalized verma modules. https://arxiv.org/abs/1903.11438

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