Joint Vanderbilt/MTSU Graph Theory and Combinatorics Seminar- Schur functions and Heisenberg product on symmetric functions- Stevenson Center 1308 Vanderbilt University
Abstract: Schur functions are one of the most important symmetric functions as they are closely related to representation theory and geometry. The Heisenberg product is an associative product defined on symmetric functions which interpolates between the ordinary product and the Kronecker product. Heisenberg coefficients are Schur structure constants of the Heisenberg product and generalization of the well-known Littlewood-Richardson coefficients and Kronecker coefficients. In this talk, I will describe Schur functions and the Heisenberg product. I will also introduce stability results related to the Kronecker coefficient and the Heisenberg coefficient.