Simple Modules over Second Quantum Weyl Algebra

2024/12/23 by Sanu Bera, Bera, Sanu
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.2412.17261

Abstract

In this article, we study the multiparameter second quantum Weyl algebra at roots of unity. In this setting, the algebra is a polynomial identity (PI) algebra, and the dimension of its simple modules is bounded above by its PI degree. We explicitly determine the PI degree and provide a complete classification of simple modules. This classification offers a comprehensive solution to \hrefhttps://doi.org/10.1007/978-3-030-19486-4₂3Problem 2: C, Walton (2019)- An Invitation to Noncommutative Algebra for the second quantum Weyl algebra.

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