11 papers
and its representations
Sanu Bera, Snehashis Mukherjee
In this article we investigate the algebra . Assume that is a primitive -th root of unity with . We prove that becomes a Polynomial Identi…
On Simple Modules over the Quantum Matrix algebra at roots of unity
Sanu Bera, Snehashis Mukherjee
This article investigates the two-parameter quantum matrix algebra at roots of unity. In the roots of unity setting, this algebra becomes a Polynomial Identity (PI) algebra and it…
Bernstein-type inequalities for quantum algebras
Sanu Bera, Ashish Gupta, Sugata Mandal +1
We establish Bernstein-type inequalities for the quantum algebras introduced by K. L. Horton that include the graded quantum Weyl algebra, the quantum s…
Simple Modules over Second Quantum Weyl Algebra
Sanu Bera
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…
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…
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…
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…
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.
Dipper Donkin Quantized Matrix Algebra and Reflection Equation Algebra at root of unity
Snehashis Mukherjee, Sanu Bera
In this article the quantized matrix algebras as in the title have been studied at a root of unity. A full classification of simple modules over such quantized matrix algebras of r…
Representations Of Quantum Spatial Ageing Algebra At Root Of Unity
Snehashis Mukherjee, Sanu Bera
In this article, the quantum spatial ageing algebra due to V. V. Bavula and T. Lu has been studied and a full classification of simple modules are given at root of unity
Construction of Simple Modules over the Quantum Affine Space
Snehashis Mukherjee, Sanu Bera
The coordinate ring of quantum affine space is the -algebra presented by generators and relations $x_ix_j=q_{…