English

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 N=2N=2 Ramond algebra. Any such module VV is either a simple highest weight module or a simple lowest weight module, or a simple cuspidal module with b(V)2{\rm b}(V)\le 2.

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