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arXiv · 2204.02578

Quasi-definite axial algebras of Jordan type half

Ilya Gorshkov·Vsevolod Gubarev
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Abstract

Axial algebras are commutative nonassociative algebras generated by a finite set of primitive idempotents which action on an algebra is semisimple, and the fusion laws on the products between eigenvectors for these idempotents are fulfilled. We find the sufficient conditions in terms of the Frobenius form and of the properties of idempotents under which an axial algebra of Jordan type half is unital.

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Ilya Gorshkov, Vsevolod Gubarev. 2022-04-06. Quasi-definite axial algebras of Jordan type half. https://doi.org/10.33048/semi.2023.20.050

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