Snehashis Mukherjee

collaborators

4 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 $K_{n, I^}^{P, Q} (K)$ introduced by K. L. Horton that include the graded quantum Weyl algebra, the quantum…

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

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