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10 papers
Triviality of the automorphism group of the multiparameter quantum affine -space
Ashish Gupta, Sugata Mandal
A multiparameter quantum affine space of rank is the -algebra generated by indeterminates satisfying $X_iX_j = q_{ij} X_jX_i \ (1 \le i < j \le n)…
Automorphisms of Quantum Polynomials
Ashish Gupta
An important step in the determination of the automorphism group of the quantum torus of rank (or twisted group algebra of ) is the determination of its so-called…
Gelfand-Kirillov dimensions of simple modules over twisted group algebras
Ashish Gupta, Umamaheswaran Arunachalam
For the -dimensional multiparameter quantum torus algebra over a field defined by a multiplicatively antisymmetric matrix we show…
A Dichotomy for GK dimensions of simple modules over simple differential rings
Ashish Gupta, Arnab Dey Sarkar
The Gelfand--Kirillov dimension has gained importance since its introduction as an tool in the study of non-commutative infinite dimensional algebras and their modules. In this pap…
Maximal abelian normal subgroups in Nilpotent groups of class 2
Satvik Goswami, Ashish Gupta
A maximal abelian normal subgroup A in a nilpotent group N is self-centralizing. This makes their role an important one in determining the structure of the nilpotent group. For exa…
Representations of the dimensional quantum torus
Ashish Gupta
The -dimensional quantum torus is defined as the associative -algebra generated by together with their inverses sati…