arXiv Open Access 2024

Projective (or spin) representations of finite groups. II

Tatsuya Tsurii Satoe Yamanaka Itsumi Mikami Takeshi Hirai

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.RT

Penulis (4)

Tatsuya Tsurii

Satoe Yamanaka

Itsumi Mikami

Takeshi Hirai

Format Sitasi

APA MLA BibTeX

Tsurii, T., Yamanaka, S., Mikami, I., Hirai, T. (2024). Projective (or spin) representations of finite groups. II. https://arxiv.org/abs/2408.03486

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓