Graded-simple algebras and cocycle twisted loop algebras
Rings and Algebras
2019-04-25 v2 Representation Theory
Abstract
The loop algebra construction by Allison, Berman, Faulkner, and Pianzola, describes graded-central-simple algebras with split centroid in terms of central simple algebras graded by a quotient of the original grading group. Here the restriction on the centroid is removed, at the expense of allowing some deformations (cocycle twists) of the loop algebras.
Cite
@article{arxiv.1807.01041,
title = {Graded-simple algebras and cocycle twisted loop algebras},
author = {Alberto Elduque},
journal= {arXiv preprint arXiv:1807.01041},
year = {2019}
}
Comments
12 pages. To appear in Proc. Amer. Math. Soc