Work

Non-weight modules over generalized Heisenberg–Virasoro algebra of rank two

Year: 2025

Type: article

Abstract: In this paper, we study a class of non-weight modules over the generalized Heisenberg-Virasoro algebra of rank two L̃(p1,p2). We construct a family of irreducible L̃(p1,p2)-modules, determine the isomorphism classes and show that these modules exhaust all the L̃(p1,p2)-modules that are free modules of rank one over the Cartan subalgebra.

Source: Journal of Mathematical Physics

DOI: 10.1063/5.0281897

Authors: Yi Wen, Naihuan Jing, Jiancai Sun, Honglian Zhang

Institutions: Shanghai University, North Carolina State University

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Simons Foundation, Natural Science Foundation of Shanghai, National Natural Science Foundation of China