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Proceedings of the American Mathematical Society

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Graded-simple algebras and cocycle twisted loop algebras


Author: Alberto Elduque
Journal: Proc. Amer. Math. Soc. 147 (2019), 2821-2833
MSC (2010): Primary 16W50, 17B70
DOI: https://doi.org/10.1090/proc/14449
Published electronically: March 26, 2019
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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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Additional Information

Alberto Elduque
Affiliation: Departamento de Matemáticas e Instituto Universitario de Matemáticas y Aplicaciones, Universidad de Zaragoza, 50009 Zaragoza, Spain
Email: elduque@unizar.es

DOI: https://doi.org/10.1090/proc/14449
Keywords: Loop algebra, cocycle twist, graded-simple, graded-central
Received by editor(s): October 23, 2018
Published electronically: March 26, 2019
Additional Notes: This research was supported by grants MTM2017-83506-C2-1-P (AEI/FEDER, UE) and E22_17R (Diputación General de Aragón).
Communicated by: Kailash C. Misra
Article copyright: © Copyright 2019 American Mathematical Society