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math.RT2024
Simple modules over 3-cyclic quantum Weyl Algebra at roots of unity
Sanu Bera, Sugata Mandal, Snehashis Mukherjee +1
This article undertakes an exploration of simple modules of 3-cyclic quantum Weyl algebra at roots of unity. Under the roots of unity assumption, the algebra becomes a Polynomial I…
math.RT2023
Simple Modules and Azumaya Loci over the PI quantized Weyl Algebras
Sanu Bera, Snehashis Mukherjee
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 Azuma…
math.RT2023
Simple Modules Over Quantized Weyl Algebras At Roots Of Unity
Sanu Bera, Snehashis Mukherjee
In this article the simple modules over the rank-two quantized Weyl algebras at roots of unity over an algebraically closed field are classified.