Classification of simple modules with finite-dimensional weight spaces for the N = 2 Ramond algebra
Representation Theory
2023-05-31 v3 Mathematical Physics
math.MP
Quantum Algebra
Rings and Algebras
Abstract
In this paper, we classify all simple weight modules with finite-dimensional weight spaces over the Ramond algebra. Any such module is either a simple highest weight module or a simple lowest weight module, or a simple cuspidal module with .
Keywords
Cite
@article{arxiv.1904.08578,
title = {Classification of simple modules with finite-dimensional weight spaces for the N = 2 Ramond algebra},
author = {Dong Liu and Yufeng Pei and Limeng Xia},
journal= {arXiv preprint arXiv:1904.08578},
year = {2023}
}
Comments
15 pages, the published manuscript is its Chinese version, the methods in Section 4 are original