English

Codes, S-structures, and exceptional Lie algebras

Rings and Algebras 2020-11-18 v2

Abstract

The exceptional simple Lie algebras of types E7 and E8 are endowed with optimal SL2nSL_2^n-structures, and are thus described in terms of the corresponding coordinate algebras. These are nonassociative algebras which much resemble the so called code algebras.

Keywords

Cite

@article{arxiv.1812.08439,
  title  = {Codes, S-structures, and exceptional Lie algebras},
  author = {Isabel Cunha and Alberto Elduque},
  journal= {arXiv preprint arXiv:1812.08439},
  year   = {2020}
}

Comments

13 pages. Some misprints corrected and extra comments added

R2 v1 2026-06-23T06:50:54.504Z