4 papers
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 $\…
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…
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…
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…