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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.RT2024
Linear Algebra and Galois Theory
Ashish Gupta, Sugata Mandal
In \cite{GQ2008} R. Gow and R. Quinlan have cast a new look on the endomorphism algebra of a -vector space of dimension assuming that has a Galois extension of d…
math.RT2024
Quantum Heisenberg Enveloping Algebra
Sanu Bera, Sugata Mandal, Soumendu Nandy
In this article, the two-parameter quantum Heisenberg enveloping algebra, which serves as a model for certain quantum generalized Heisenberg algebras, have been studied at roots of…