On the structure of axial algebras

Sanhan Khasraw, Justin McInroy, Sergey Shpectorov

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)
225 Downloads (Pure)


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 languageEnglish
Pages (from-to)2135-2156
JournalTransactions of the American Mathematical Society
Issue number3
Early online date2 Dec 2019
Publication statusE-pub ahead of print - 2 Dec 2019


  • math.RA
  • math.GR
  • 17A60, 17A99, 20B25


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