The Jucys-Murphy basis and semisimplicty criteria for the q-Brauer algebra

2022/11/27 by Hebing Rui, Rui, Hebing, Mei Si +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2211.14756

openalex publication_date 2022/11/27 · openalex created_date 2022/12/10 · openalex updated_date 2026/07/28

Abstract

We construct the Jucys-Murphy elements and the Jucys-Murphy basis for the q-Brauer algebra in the sense of Mathas[11]. We also give a necessary and sufficient condition for the q-Brauer algebra being (split) semisimple over an arbitrary field.

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