English

On the structure of axial algebras

Rings and Algebras 2020-04-27 v2 Group Theory

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.

Keywords

Cite

@article{arxiv.1809.10132,
  title  = {On the structure of axial algebras},
  author = {Sanhan Khasraw and Justin McInroy and Sergey Shpectorov},
  journal= {arXiv preprint arXiv:1809.10132},
  year   = {2020}
}

Comments

27 pages