Projective (or spin) representations of finite groups. II

Tatsuya Tsurii; Satoe Yamanaka; Itsumi Mikami; Takeshi Hirai

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arXiv · 2408.03486

Projective (or spin) representations of finite groups. II

Tatsuya Tsurii·Satoe Yamanaka·Itsumi Mikami·Takeshi Hirai

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Abstract

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.

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BibTeX RIS

Tatsuya Tsurii, Satoe Yamanaka, Itsumi Mikami, Takeshi Hirai. 2024-08-29. Projective (or spin) representations of finite groups. II. https://arxiv.org/abs/2408.03486

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