Bound for the cocharacters of the identities of irreducible\n representations of mathfraksl₂(\ℂ)

2021/12/13 by M. Domokos, Domokos, M.
Mathematics · #16R10 #16R30 #17B01 #17B20 #20C30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2112.06870

openalex publication_date 2021/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For each irreducible finite dimensional representation of the Lie algebra\n mathfraksl₂(\ℂ) of 2\× 2 traceless matrices, an explicit\nuniform upper bound is given for the multiplicities in the cocharacter sequence\nof the polynomial identities satisfied by the given representation.\n

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