University of Sydney
School of Mathematics and Statistics
Algebra Seminar
Gus Lehrer
Universit of Sydney
Braid diagrams and decomposition numbers, I & II.
Friday 8th March and 12th April, 12-1pm, Carslaw 373.I will show how some well known algebras, such as classical and affine Hecke algebras, have bases consisting of braid diagrams. This makes them amenable to cellular algebraic methods, and permits the computation of some decomposition numbers for their "standard modules" (as defined by Kazhdan-Lusztig and Ginzburg).
This is joint work with John Graham.