Irreducible Continuous Representations of the Simple Linearly Compact n-Lie Superalgebra of type W
Abstract
In the present paper we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type W. The classification is based on a bijective correspondence between the continuous representations of the n-Lie algebras Wn and continuous representations of the Lie algebra of Cartan type Wn-1, on which some two-sided ideal acts trivially.
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