Finite dimensional modules for multiloop superalgebra of type A(m,n) and C(m)

2011/09/15 by S. Eswara Rao, Rao, S. Eswara · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Representations Theory #math.RT

paper · pdf · doi:10.48550/arxiv.1109.3297

arxiv created 2011/09/15 · openalex publication_date 2011/09/15 · arxiv updated 2011/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we construct a new class of finite dimensional irreducible modules genaralizing evaluation modules for multiloop superalgebra of type A(m,n) and C(m). We prove that these are the only such modules. In all other cases it is known that such modules are evaluation modules.

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