Non-weight modules over generalized Heisenberg–Virasoro algebra of rank two
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.
Authors
- Naihuan Jing (ORCID: https://orcid.org/0000-0002-2156-2569)
- Honglian Zhang (ORCID: https://orcid.org/0000-0001-6233-9235)
- Jiancai Sun (ORCID: https://orcid.org/0000-0002-2493-5877)
- Wen Yi (ORCID: https://orcid.org/0009-0001-0602-0710)
Institutions
- Shanghai University (CN)
- North Carolina State University (US)
- University of Shanghai for Science and Technology (CN)
Publication Details
- Journal
- Journal of Mathematical Physics
- Published
- 2025-12-01
- DOI
- https://doi.org/10.1063/5.0281897
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00