Irreducible Continuous Representations of the Simple Linearly Compact n-Lie Superalgebra of type S

2016/04/14 by Boyallian, Carina, Meinardi, Vanesa
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1604.04258

Abstract

In the present paper we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type S. The classification is based on a bijective correspondence between the continuous representations of the n-Lie algebras Sⁿ and continuous representations of the Lie algebra of Cartan type S, on which some two-sided ideal acts trivially.

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