R. Pandey

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20222025

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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.RT2024

Weyl modules for twisted toroidal Lie algebras

Ritesh Kumar Pandey, Sachin S. Sharma

In this paper, we extend the notion of Weyl modules for twisted toroidal Lie algebra $T (μ)$ . We prove that the level one global Weyl modules of $T (μ)$ are isomo…

math.RT2022

Representations of loop extended Witt algebras

Sachin S. Sharma, Priyanshu Chakraborty, Ritesh Kumar Pandey +1

In this paper, we classify irreducible modules for loop extended Witt algebras with finite dimensional weight spaces. They turn out to be either modules with uniformly bounded weig…

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

Weyl modules for twisted toroidal Lie algebras

Representations of loop extended Witt algebras

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