On the structure of axial algebras

Khasraw, S. M. S.; McInroy, J.; Shpectorov, S.

doi:10.1090/tran/7979

On the structure of axial algebras
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by S. M. S. Khasraw, J. McInroy and S. Shpectorov PDF

Trans. Amer. Math. Soc. 373 (2020), 2135-2156 Request permission

Abstract:

Axial algebras are a recently introduced class of non-associative algebra motivated by applications to groups and vertex-operator algebras. We develop the structure theory of axial algebras focussing on two major topics: (1) radical and simplicity, and (2) sum decompositions.

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