A new construction of irreducible quasi-finite highest weight modules for toroidal ๐ฐ๐ฉ <sub>2</sub>
In this paper, we present a new free field(-like) construction of irreducible modules for toroidal ๐ฐ๐ฉ 2 with finite dimensional weight spaces and trivial central action. To this end, we also determine the irreducibility of certain Verma modules for generalized Takiff algebras associated to ๐ฐ๐ฉ 2 .
Authors
- Ying Feng (ORCID: https://orcid.org/0009-0000-3353-8542)
- Shaobin Tan
- Fulin Chen
- Xin Huang
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2026-03-26
- DOI
- https://doi.org/10.1142/s0219498826400037
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00