On the structure of axial algebras

Sanhan Khasraw; Justin McInroy; Sergey Shpectorov

doi:10.1090/tran/7979

On the structure of axial algebras

Sanhan Khasraw, Justin McInroy, Sergey Shpectorov

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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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.

Original language	English
Number of pages	22
Journal	Transactions of the American Mathematical Society
DOIs	https://doi.org/10.1090/tran/7979
Publication status	Published - 2 Dec 2019

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10.1090/tran/7979

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via American Mathematical Society athttps://www.ams.org/journals/tran/0000-000-00/S0002-9947-2019-07979-5/. Please refer to any applicable terms of use of the publisher.
Accepted author manuscript, 356 KB

https://arxiv.org/pdf/1809.10132.pdf

Dr Justin F McInroy
- justin.mcinroybristol.acuk
- School of Mathematics - Teaching Associate
- Heilbronn Institute for Mathematical Research
- Pure Mathematics
Person: Academic , Member

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M3 - Article (Academic Journal)

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On the structure of axial algebras

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Dr Justin F McInroy

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