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20072026
most citedOn Integrable modules for the twisted full toroidal Lie algebra

7 citations · 18 across the 15 of their papers we have counts for

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16 papers

math.RT2026

Integrable Representations for Toroidal Lie Algebras Co-ordinated by Rational Quantum Torus

Suman Rani, Punita Batra

We classify irreducible integrable modules with finite-dimensional weight spaces for toroidal Lie algebras coordinated by rational quantum torus with trivial central action. Let $\…

math.RT2025

Uniformly bounded weight modules for Map extended Special and Map extended Hamiltonian Lie algebras

Pradeep Bisht, Punita Batra

This paper explores the irreducible uniformly bounded weight modules of map extended Special Lie algebras and map extended Hamiltonian Lie algebras under some condition on the acti…

math.RT2024

Integrable Modules of Map full Toroidal Lie Algebras

Pradeep Bisht, Punita Batra

In this paper, we study the irreducible objects of the category Cf in of integrable representations for Map full Toroidal Lie algebras with finite dimensional weight spaces. These…

math.RT2023

Simple Modules For Twisted Hamiltonian Extended Affine Lie Algebras

Santanu Tantubay, Priyanshu Chakraborty, Punita Batra

In this paper, we consider the twisted Hamiltonian extended affine Lie algebra (THEALA). We classify the irreducible integrable modules for these Lie algebras with finite-dimension…

math.RT2022

Irreducible Integrable Modules for the full Toroidal Lie Algebras co-ordinated by Rational Quantum Torus

Santanu Tantubay, Punita Batra

Let be a non-commutative Laurent polynomial ring associated with a rational quantum matrix . Let $\mathfrak{sl}_d(\mathbb{C}_q)\oplus HC_1(\ma…

math.RT2021

A class of irreducible modules for loop-Virasoro algebras

Priyanshu Chakraborty, Punita Batra

Tensor product of highest weight modules and intermediate modules for Virasoro algebra have been studied around 1997. Since then the irreducibility problem for tensor product of mo…