Irreducible modules for map Heisenberg-Virasoro Lie algebras

2023/11/05 by Chakraborty, Priyanshu
#17B65 #17B66 #17B67 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2311.02635

Abstract

We study irreducible modules for map Heisenberg-Virasoro algebras. In particular, we give a complete classification of irreducible Harish-Chandra modules for map Heisenberg-Virasoro algebras. We will also classify non-weight irreducible modules for map Heisenberg-Virasoro algebras whose restriction on the degree zero part of the universal enveloping algebra of Witt algebra is free of rank 1.

Related

• Classification of irreducible weight modules with a finite dimensional weight space over twisted Heisenberg-Virasoro algebra
• Harish-Chandra modules over the \Q Heisenberg-Virasoro Algebra
• Classification of irreducible Harish-Chandra modules over full toroidal Lie algebras and higher-dimensional Virasoro algebras
• Classification of irreducible Harish-Chandra modules over map full toroidal Lie algebras
• Non-weight modules over the mirror Heisenberg-Virasoro algebra