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- Title
Generalized stability of Heisenberg coefficients.
- Authors
Ying, Li
- Abstract
Stembridge introduced the notion of stability for Kronecker triples, which generalizes Murnaghan's classical stability result for Kronecker coefficients. Sam and Snowden proved a conjecture of Stembridge concerning stable Kronecker triples, 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.
- Subjects
VALLEJO (Calif.); REPRESENTATION theory; LOGICAL prediction
- Publication
Aequationes Mathematicae, 2020, Vol 94, Issue 6, p1093
- ISSN
0001-9054
- Publication type
Article
- DOI
10.1007/s00010-020-00749-8