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arXiv · 2207.01225

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

Takahiro Yabe
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Abstract

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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Takahiro Yabe. 2022-07-04. Universal decomposition algebras and the classification of 2-generated non-primitive axial algebras of Jordan type. https://arxiv.org/abs/2207.01225

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