English

Projective (or spin) representations of finite groups. II

Representation Theory 2024-08-30 v2

Abstract

In the previous paper, we proposed a practical method of constructing explicitly representation groups R(G)R(G) for finite groups GG, and apply it to certain typical finite groups GG with Schur multiplier M(G)M(G) containing prime number 3. In this paper, we construct a complete list of irreducible projective (or spin) representations of GG and compute their characters (called spin characters). It is a continuation of our study of spin representations in the cases where M(G)M(G) contains prime number 2 to the cases where other prime pp appears, firstly p=3p=3. We classify irreducible spin representations and calculate spin characters according to their spin types.

Keywords

Cite

@article{arxiv.2408.03486,
  title  = {Projective (or spin) representations of finite groups. II},
  author = {Tatsuya Tsurii and Satoe Yamanaka and Itsumi Mikami and Takeshi Hirai},
  journal= {arXiv preprint arXiv:2408.03486},
  year   = {2024}
}

Comments

6 pages

R2 v1 2026-06-28T18:05:55.959Z