Algebra and Combinatorics Seminar

Date: October 5, 2018

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Li Ying, Texas A&M University

Title: Generalized stability of Heisenberg coefficients

Abstract: Stembridge introduced a new concept, Kronecker stable triple, which generalized the classical Murnaghan's stability result of Kronecker coefficients. Sam and Snowden proved a conjecture of Stembridge concerning when a Kronecker triple is stable, and they also showed an analogous result for Littlewood--Richardson coefficients. Heisenberg coefficients are Schur structure constants of the Heisenberg product which generalize Littlewood--Richardson coefficients and Kronecker coefficients. In this talk, I will recall the definition and explain some known results. I will show that any stable triple for Kronecker coefficients or Littlewood--Richardson coefficients also stabilizes Heisenberg coefficients, and I follow Vallejo's idea of using matrix additivity to generate Heisenberg stable triples.