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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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