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 sl5 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 (8). A key tool is the notion of dual morphism between Verma modules.
Cantarini N., Caselli F. (2020). Low Degree Morphisms of E(5, 10)-Generalized Verma Modules. ALGEBRAS AND REPRESENTATION THEORY, 23(6), 2131-2165 [10.1007/s10468-019-09925-0].
Low Degree Morphisms of E(5, 10)-Generalized Verma Modules
Cantarini N.;Caselli F.
2020
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 sl5 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 (8). A key tool is the notion of dual morphism between Verma modules.| File | Dimensione | Formato | |
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