CU Algebraic Lie Theory Seminar

CU Algebraic Lie Theory Seminar
Domino Tableaux and Cells of Coxeter Groups Tyson Gern, CU
March 20, 2012 Math 350 2-3pm	Abstract The Robinson--Schensted correspondence between the symmetric group and pairs of standard young tableaux gives rise for a way to compute cells of Coxeter groups of type A. A lesser known correspondence exists for signed permutation and pairs of so-called domino tableaux, which allows us to compute cells in Coxeter groups of type D. This talk will describe the computation of these cells and will explore applications to Kazhdan--Lusztig theory

Domino Tableaux and Cells of Coxeter Groups

Tyson Gern, CU

March 20, 2012

Math 350

2-3pm

Abstract

The Robinson--Schensted correspondence between the symmetric group and pairs of standard young tableaux gives rise for a way to compute cells of Coxeter groups of type A. A lesser known correspondence exists for signed permutation and pairs of so-called domino tableaux, which allows us to compute cells in Coxeter groups of type D. This talk will describe the computation of these cells and will explore applications to Kazhdan--Lusztig theory