Representations of principal W-algebra for the superalgebra Q(n) and\n the super Yangian YQ(1)

2019/03/12 by Elena Poletaeva, Poletaeva, Elena, Vera Serganova +1 · 1 citation
Mathematics · #17B20 #17B35 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1903.05272

openalex publication_date 2019/03/12 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

We classify irreducible representations of finite W-algebra of the queer\nLie superalgebra Q(n) associated with the principal nilpotent coadjoint\norbits. We use this classification and our previous results to obtain a\nclassification of simple finite-dimensional representations of the super\nYangian YQ(1).\n

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