A class of non-weight modules over loop Ramond algebras
Abstract
In the present paper, a class of non-weight modules over loop Ramond algebras R are defined. Denote h=CL0;0⊕CG0;0. We prove that these modules constitute a complete classification of U(h)-free modules of rank 1 over R. Based on this result, it is relatively easy to provide the classification theorem for some other loop Lie superalgebras such as the loop twisted N = 2 superconformal algebra, the loop super-Galilean conformal algebra and the loop Ramond-Block algebra.
Fields of Study & Subjects
Advanced Operator Algebra Research
Rings
Modules
and Algebras
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Communications in Algebra
- Publisher
- Informa UK Limited
- Volume
- 54
- Issue
- 6
- Pages
- 2660–2670
- Publication date
- 4 January 2026
- Language
- EN