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In this paper we face the study of the representations of the exceptional Liesuperalgebra E(5,10). We recall the construction of generalized Verma modulesand give a combinatorial description of the restriction to sl_5 of the Vermamodule induced by the trivial representation. We use this description toclassify morphisms between Verma modules of degree one, two and three provingin these cases a conjecture given by Rudakov. A key tool is the notion of dualmorphism between Verma modules.

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