Graded-simple algebras and cocycle twisted loop algebras
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- by Alberto Elduque PDF
- Proc. Amer. Math. Soc. 147 (2019), 2821-2833 Request permission
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.References
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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
- MR Author ID: 208418
- Email: elduque@unizar.es
- 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
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 2821-2833
- MSC (2010): Primary 16W50, 17B70
- DOI: https://doi.org/10.1090/proc/14449
- MathSciNet review: 3973886