Sanu Bera

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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.RT2024

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…

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…

Uq+​(B2​) and its representations

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

Simple Modules over Second Quantum Weyl Algebra

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

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