Monster 型 $(2\beta, \beta)$ 的 2-生成轴代数
环与代数
2022-11-21 v3 群论
摘要
本文证明，在 与 均可逆的环 上，Monster 型 的 -生成本原轴代数可作为 -模由 个向量生成。随后我们完全分类了在任意特征不为 的域上的 Monster 型 的 -生成本原轴代数。
引用
@article{arxiv.2101.10379,
title = {2-generated axial algebras of Monster type $(2\beta, \beta)$},
author = {Clara Franchi and Mario Mainardis and Sergey Shpectorov},
journal= {arXiv preprint arXiv:2101.10379},
year = {2022}
}
备注
31 pages. We added the discussion whether a symmetric 2-generated primitive axial algebra of Monster type $(2\beta, \beta)$ can also be non-symmetric with respect to a different pair of generating axes. This is possible only in the case of the algebra $3C(2/3)$. We also corrected a mistake in Theorem 5.7