2018/10/30 by Ying Li, Li Ying, Ying, Li
Chemistry · Mathematics · #05E05 #05E10 #20C30 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Molecular spectroscopy and chirality #math.CO #msc:05E05 #msc:05E10 #msc:20C30
paper · pdf · doi:10.48550/arxiv.1810.12512
13 pages
arxiv created 2018/10/30 · openalex publication_date 2018/10/30 · arxiv updated 2018/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Stembridge introduced the notion of stability for Kronecker triples which generalize Murnaghan's classical stability result for Kronecker coefficients. Sam and Snowden proved a conjecture of Stembridge concerning stable Kronecker triple, and they also showed an analogous result for Littlewood--Richardson coefficients. Heisenberg coefficients are Schur structure constants of the Heisenberg product which generalize both Littlewood--Richardson coefficients and Kronecker coefficients. We show that any stable triple for Kronecker coefficients or Littlewood--Richardson coefficients also stabilizes Heisenberg coefficients, and we classify the triples stabilizing Heisenberg coefficients. We also follow Vallejo's idea of using matrix additivity to generate Heisenberg stable triples.