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

2016/01/04 by Carina Boyallían, Carina Boyallian, Boyallian, Carina +2
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1601.00689

arXiv admin note: text overlap with arXiv:1011.1396 by other authors

openalex publication_date 2016/01/04 · arxiv created 2016/02/15 · arxiv updated 2016/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 W_n-1, on which some two-sided ideal acts trivially.

Citations

• Irreducible Highest Weight Representations Of The Simple n-Lie Algebra

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