Seminar series
Date
Thu, 06 May 2010
Time
14:30 -
15:30
Location
L3
Speaker
Dusko Bogdanic
Organisation
Oxford
We introduce the idea of transfer of gradings via derived equivalences and we apply it to construct positive gradings on a basic
Brauer tree algebra corresponding to an arbitrary Brauer tree T. We do this by transferring gradings via derived equivalence from a basic Brauer tree algebra, whose tree is a star. To transfer gradings via derived equivalence we use tilting
complexes constructed by taking Green's walk around T. We also prove that there is a unique grading on an arbitrary Brauer tree algebra, up to graded Morita equivalence and rescaling.