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arXiv · 1807.01041

Graded-simple algebras and cocycle twisted loop algebras

Alberto Elduque
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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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Alberto Elduque. 2018-07-03. Graded-simple algebras and cocycle twisted loop algebras. https://doi.org/10.1090/proc/14449

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