English

Representations of Super $W(2,2)$ algebra $\mathfrak{L}$

Representation Theory 2017-05-29 v1

Abstract

In paper, we study the representation theory of super W(2,2)W(2,2) algebra L{\mathfrak{L}}. We prove that L{\mathfrak{L}} has no mixed irreducible modules and give the classification of irreducible modules of intermediate series. We determinate the conjugate-linear anti-involution of L{\mathfrak{L}} and give the unitary modules of intermediate series.

Keywords

Cite

@article{arxiv.1705.09452,
  title  = {Representations of Super $W(2,2)$ algebra $\mathfrak{L}$},
  author = {Hao Wang and Huanxia Fa and Junbo Li},
  journal= {arXiv preprint arXiv:1705.09452},
  year   = {2017}
}

Comments

21pages,0figures

R2 v1 2026-06-22T19:59:45.527Z