Simple Modules and Azumaya Loci over the PI quantized Weyl Algebras

2023/10/06 by Sanu Bera, Bera, Sanu, Snehashis Mukherjee +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.2310.04048

Abstract

In this article, both versions of multiparameter quantum Weyl algebras have been studied at the roots of unity. The center, PI degree, maximal-dimensional simple modules, and Azumaya locus have been explicitly computed for such algebras.

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