Snehashis Mukherjee

activity

20202025

collaborators

11 papers

math.RT2025

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U_{r, s}^{+} (B_{2})$

Snehashis Mukherjee, Ritesh Kumar Pandey

We study the two-parameter quantized enveloping algebra $U_{r, s}^{+} (B_{2})$ at roots of unity and investigate its structure and representations. We first show that when $r$ and $s$ ar…

math.RT2025

$U_{q}^{+} (B_{2})$ and its representations

Sanu Bera, Snehashis Mukherjee

In this article we investigate the algebra $U_{q}^{+} (B_{2})$ . Assume that $q$ is a primitive $m$ -th root of unity with $m \geq 5$ . We prove that $U_{q}^{+} (B_{2})$ becomes a Polynomial Identi…

math.RT2025

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…

math.QA2025

Bernstein-type inequalities for quantum algebras

Sanu Bera, Ashish Gupta, Sugata Mandal +1

We establish Bernstein-type inequalities for the quantum algebras $K_{n, Γ}^{P, Q} (K)$ introduced by K. L. Horton that include the graded quantum Weyl algebra, the quantum s…

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.

math.QA2022

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…

math.QA2021

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

math.RT2020

Azumaya Loci Of The Quantum Euclidean $2 n$ -Space

Snehashis Mukherjee

This article delves into the Azumaya loci of quantum euclidean 2n-space, providing a comprehensive exploration. We introduce a significant class of maximal-dimensional simple modul…

math.RT2020

Construction of Simple Modules over the Quantum Affine Space

Snehashis Mukherjee, Sanu Bera

The coordinate ring $O_{q} (K^{n})$ of quantum affine space is the $K$ -algebra presented by generators $x_{1}, \dots, x_{n}$ and relations $x_ix_j=q_{…

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra Ur,s+​(B2​)

Uq+​(B2​) and its representations

On Simple Modules over the Quantum Matrix algebra at roots of unity

Bernstein-type inequalities for quantum algebras

Simple modules over 3-cyclic quantum Weyl Algebra at roots of unity

Simple Modules and Azumaya Loci over the PI quantized Weyl Algebras

Simple Modules Over Quantized Weyl Algebras At Roots Of Unity

Dipper Donkin Quantized Matrix Algebra and Reflection Equation Algebra at root of unity

Representations Of Quantum Spatial Ageing Algebra At Root Of Unity

Azumaya Loci Of The Quantum Euclidean 2n-Space

Construction of Simple Modules over the Quantum Affine Space

Simple Modules and PI Structure of the Two-Parameter Quantized Algebra $U_{r, s}^{+} (B_{2})$

$U_{q}^{+} (B_{2})$ and its representations

Azumaya Loci Of The Quantum Euclidean $2 n$ -Space