Classification of Harish-Chandra modules over the $W$-algebra W(2,2)

Dong Liu; Linsheng Zhu

Classification of Harish-Chandra modules over the $W$-algebra W(2,2)

Representation Theory 2008-01-18 v2 Quantum Algebra

Authors: Dong Liu , Linsheng Zhu

Abstract

In this paper, we classify all irreducible weight modules with finite dimensional weight spaces over the $W$ -algebra $W(2, 2)$ . Meanwhile, all indecomposable modules with one dimensional weight spaces over the $W$ -algebra $W(2, 2)$ are also determined.

Keywords

W-algebra Harish-Chandra modules irreducible weight modules classification finite dimensional weight spaces indecomposable modules

Cite

@article{arxiv.0801.2601,
  title  = {Classification of Harish-Chandra modules over the $W$-algebra W(2,2)},
  author = {Dong Liu and Linsheng Zhu},
  journal= {arXiv preprint arXiv:0801.2601},
  year   = {2008}
}

Comments

Latex, 20 pages

Related papers

View all related →