Algebraic combinatorics seminar - Yan XuExport this event to calendar

Thursday, March 27, 2014 — 2:00 PM EDT

A Bernstein Creation Operator of Schur Basis

Speaker: Yan Xu
Affiliation: University of Waterloo
Room: Mathematics and Computer Building (MC) 5158

Abstract:

In this talk, I will introduce an operator B that acts on 1 to create the Schur basis of Sym. To construct this operator, we will need to consider elementary basis indexed by an integer r as an operator that adds vertical strip of size r on a diagram of an integer partition over all possible ways. From this we can define the dual operator of elementary operator. Go through some construction of commutation of those operator and generation functions of those operator we will find Schur basis is the coefficient of certain term of the generating function B(z). This talk only requires a little background of symmetric functions.

Location 
MC - Mathematics & Computer Building
5158
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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