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Algebra Seminar
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Yuri Bahturin
Memorial University of Newfoundland and Moscow State University

Group gradings on simple algebras

Friday 16th April, 12:05-12:55pm, Carslaw 373.

In this talk our main aim is to describe results obtained in cooperation with S. Seghal, I. Shestakov and M. Zaicev on the description of all possible gradings of finite-dimensional simple associative, Lie, and Jordan algebras over an algebraically closed field of characteristic zero. In the case of simple associative, that is, matrix algebras the results can be obtained even if the grading finite group is not necessarily abelian. If the grading group is finite abelian then the gradings can be described completely. This classification enables us to describe all possible gradings also on most types of classical simple Lie and Jordan algebras.