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…

Uq+​(B2​) and its representations

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

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