Gradings, cellularity, and decomposition matrices of quiver Hecke algebras
There are two remarkably successful approaches to the study of symmetric groups and their Hecke algebras: the first is via geometry and the second is via categorical Lie theory.
The geometric picture can be generalised to Hecke algebras of real reflection groups. In so doing, Lusztig proved the unitriangularity of decomposition matrices of these Hecke algebras with respect to many different partial orderings (the so-called "Lusztig a-function orderings").
Categorical Lie theory picks up where geometry leaves off: in this talk we discuss how the above picture can be generalised to all Hecke algebras of complex reflection groups. This is achieved by constructing explicit graded cellular bases on these Hecke algebras.
Speaker
Dr. Chris Bowman (University of Kent at Canterbury)
Organiser
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Date
20. June 201914:15 o'clock - 15:45 o'clock
Public contact
Institut für Algebra, Zahlentheorie und Diskrete MathematikWelfengarten 1
30167 Hannover
Tel.: 762-3337
Fax: 762-5490
sekretariat-d@math.uni-hannover.de
Location
HauptgebäudeBuilding: 1101
Room: a410
Welfengarten 1
30167 Hannover