Seminar series
Date
Thu, 24 Jan 2013
Time
14:00 -
15:00
Location
L3
Speaker
Yuri Bazlov
Organisation
Manchester University
Central extensions of a finite group G correspond to 2-cocycles on G, which give rise to an abelian cohomology group known as the Schur
multiplier of G. Recently, the Schur multiplier was defined in a much more
general setting of a monoidal category. I will explain how to twist algebras by categorical 2-cocycles and will mention the role of
such twists the theory of quantum groups. I will then describe an approach to twisting rational Cherednik algebras by cocycles,
and will discuss possible applications of this new construction to the representation theory of these algebras.