Graded-simple algebras and cocycle twisted loop algebras
Alberto Elduque

TL;DR
This paper extends the theory of graded-central-simple algebras by removing centroid restrictions and introducing cocycle twists, broadening the class of loop algebras that can be described.
Contribution
It generalizes the loop algebra construction to include cocycle twists, removing previous centroid restrictions.
Findings
Extended the classification of graded-simple algebras
Introduced cocycle twists to loop algebra construction
Broadened the scope of algebraic structures covered
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.
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