论文标题

关于Majorana类型的2生成轴向代数的分类

On the classification of 2-generated axial algebras of Majorana type

论文作者

Yabe, Takahiro

论文摘要

A class of axial algebras generated by two axes with eigenvalues 0, 1, $η$ and $ξ$ called axial algebras of Majorana type is introduced and classified when they are 2-generated, over fields of characteristics neither 2 nor 5 and there exists an automorphism switching generating axes.. The class includes deformations of nine Norton-Sakuma algebras.在特征5的场上,Majorana类型的轴向代数最多可将5个轴向尺寸粘合。

A class of axial algebras generated by two axes with eigenvalues 0, 1, $η$ and $ξ$ called axial algebras of Majorana type is introduced and classified when they are 2-generated, over fields of characteristics neither 2 nor 5 and there exists an automorphism switching generating axes.. The class includes deformations of nine Norton-Sakuma algebras. Over fields of characteristics 5, the axial algebras of Majorana type with the axial dimension at most 5 are clasified.

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