The loop algebra construction by Allison, Berman, Faulkner, and Pianzola (2008), describes graded-central-simple algebras with “split centroid” in terms of central simple algebras graded by a quotient of the original grading group. Particular versions of this result were considered by several authors.
In this talk it will be shown how the restriction on the centroid can be removed, at the expense of allowing some deformations (cocycle twists) of the loop algebras.
This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.
