Morphisms of Verma modules over exceptional Lie superalgebra E(5,10)

Physics – Mathematical Physics

Scientific paper

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12 pages, 2 figures

Scientific paper

In this paper we define the degree of a morphism between (generalized) Verma
modules over a graded Lie superalgebra and construct series of morphisms of
various degrees between (generalized) Verma modules over the exceptional
infinite-dimensional linearly compact simple Lie superalgebra E(5,10). We prove
that all such morphisms of degree 1 are found.

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