English

The extended Freudenthal Magic Square and Jordan algebras

Rings and Algebras 2007-05-23 v1

Abstract

The Lie superalgebras in the extended Freudenthal Magic Square in characteristic 3 are shown to be related to some known simple Lie superalgebras, specific to this characteristic, constructed in terms of orthogonal and symplectic triple systems, which are defined in terms of central simple degree three Jordan algebras.

Keywords

Cite

@article{arxiv.math/0608191,
  title  = {The extended Freudenthal Magic Square and Jordan algebras},
  author = {Isabel Cunha and Alberto Elduque},
  journal= {arXiv preprint arXiv:math/0608191},
  year   = {2007}
}

Comments

23 pages

R2 v1 2026-07-22T17:40:20.716Z