Projective (or spin) representations of finite groups. II

Autor:	Tsurii, Tatsuya, Yamanaka, Satoe, Mikami, Itsumi, Hirai, Takeshi
Rok vydání:	2024
Předmět:	Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	In the previous paper, we proposed a practical method of constructing explicitly representation groups $R(G)$ for finite groups $G$, and apply it to certain typical finite groups $G$ with Schur multiplier $M(G)$ containing prime number 3. In this paper, we construct a complete list of irreducible projective (or spin) representations of $G$ and compute their characters (called spin characters). It is a continuation of our study of spin representations in the cases where $M(G)$ contains prime number 2 to the cases where other prime $p$ appears, firstly $p=3$. We classify irreducible spin representations and calculate spin characters according to their spin types. Comment: 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.03486 Zobrazit plný text záznamu View this record from Arxiv