Sanu Bera

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20202025

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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…

Uq+​(B2​) and its representations

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

Bernstein-type inequalities for quantum algebras

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