English

Non-associative Frobenius algebras of type $E_7$

Rings and Algebras 2024-01-05 v2

Abstract

Recently, Maurice Chayet and Skip Garibaldi introduced a class of commutative non-associative algebras. In previous work, we gave an explicit description of these algebras for groups of type G2,F4G_2,F_4 and certain forms of E6E_6 in terms of octonion and Albert algebras. In this paper, we extend this further by dealing with E7E_7 in terms of generalised Freudenthal triple systems.

Keywords

Cite

@article{arxiv.2401.01660,
  title  = {Non-associative Frobenius algebras of type $E_7$},
  author = {Jari Desmet},
  journal= {arXiv preprint arXiv:2401.01660},
  year   = {2024}
}

Comments

15 pages. arXiv admin note: text overlap with arXiv:2306.06910