论文标题

通用分解代数和约旦类型的2产生非轴向代数的分类

Universal decomposition algebras and the classification of 2-generated non-primitive axial algebras of Jordan type

论文作者

Yabe, Takahiro

论文摘要

分解代数和轴向分解代数是轴向代数的概括性代数的交换性非社交代数。类别分解代数,轴向分解Al; gebras和非轴向代数也具有UNISEL代数。此外,通过使用通用代数的存在,将约旦类型的2生成非主要轴向代数分类。

Decomposition algebras and axial decomposition algebras are classes of commutative nonassociative algebras which are generalizations of axial algebras. The classes decomposition algebras, axial decomposition al;gebras and non-primitive axial algebras also have univesal algebras. Furthermore, by using the existence of a universal algebra, 2-generated non-primitive axial algebras of Jordan type is classified.

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