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

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 S^n and continuous representations of the Lie algebra of Cartan type S, on which some two-sided ideal acts trivially.

arXiv admin note: substantial text overlap with arXiv:1601.00689; text overlap with arXiv:0909.3284, arXiv:1011.1396 by other authors