
Yuri Bahturin
Memorial University of Newfoundland and Moscow State
University
Group gradings on simple algebras
Friday 16th April, 12:0512:55pm,
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 finitedimensional 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.







