Ashish Gupta

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20112021

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math.RA2021

Automorphisms of Quantum Polynomials

Ashish Gupta

An important step in the determination of the automorphism group of the quantum torus of rank $n$ (or twisted group algebra of $Z^{n}$ ) is the determination of its so-called…

math.RA2018

Gelfand-Kirillov dimensions of simple modules over twisted group algebras $k * A$

Ashish Gupta, Umamaheswaran Arunachalam

For the $n$ -dimensional multiparameter quantum torus algebra $Λ_{q}$ over a field $k$ defined by a multiplicatively antisymmetric matrix $q = (q_{ij})$ we show…

math.RA2011

A note on the simple modules over McConnell--Pettit algebras

Ashish Gupta

We consider simple modules over the McConnell--Pettit algebras. We show that both induction and contraction yield simple modules for the extremes of the global dimension.

Automorphisms of Quantum Polynomials

Gelfand-Kirillov dimensions of simple modules over twisted group algebras k∗A

A note on the simple modules over McConnell--Pettit algebras

Gelfand-Kirillov dimensions of simple modules over twisted group algebras $k * A$