Simple $G$-graded algebras and their polynomial identities
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- by Eli Aljadeff and Darrell Haile PDF
- Trans. Amer. Math. Soc. 366 (2014), 1749-1771 Request permission
Abstract:
Let $G$ be any group and $F$ an algebraically closed field of characteristic zero. We show that any $G$-graded finite dimensional associative $G$-simple algebra over $F$ is determined up to a $G$-graded isomorphism by its $G$-graded polynomial identities. This result was proved by Koshlukov and Zaicev in case $G$ is abelian.References
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Additional Information
- Eli Aljadeff
- Affiliation: Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel
- MR Author ID: 229998
- Darrell Haile
- Affiliation: Department of Mathematics, Indiana University, 831 E 3rd Street, Bloomington, Indiana 47405
- Received by editor(s): November 25, 2011
- Received by editor(s) in revised form: March 31, 2012
- Published electronically: November 14, 2013
- Additional Notes: The first author was supported by the Israel Science Foundation (grant No. 1017/12)
- © Copyright 2013 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 366 (2014), 1749-1771
- MSC (2010): Primary 16R50, 16R10, 16W50
- DOI: https://doi.org/10.1090/S0002-9947-2013-05842-4
- MathSciNet review: 3152711