English

Gradings on semisimple algebras

Rings and Algebras 2019-04-25 v2

Abstract

The classification of gradings by abelian groups on finite direct sums of simple finite-dimensional nonassociative algebras over an algebraically closed field is reduced, by means of the use of loop algebras, to the corresponding problem for simple algebras. This requires a good definition of (free) products of group-gradings.

Keywords

Cite

@article{arxiv.1803.09959,
  title  = {Gradings on semisimple algebras},
  author = {Alejandra S. Córdova-Martínez and Alberto Elduque},
  journal= {arXiv preprint arXiv:1803.09959},
  year   = {2019}
}

Comments

21 pages

R2 v1 2026-06-23T01:06:05.658Z