Production of faces of the Kronecker cone containing stable triples
Autor: | Maxime Pelletier |
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Rok vydání: | 2021 |
Předmět: |
Pure mathematics
Hyperbolic geometry 010102 general mathematics 0102 computer and information sciences Algebraic geometry 01 natural sciences Cone (formal languages) symbols.namesake Differential geometry 010201 computation theory & mathematics Kronecker delta symbols Production (computer science) Geometry and Topology 0101 mathematics Focus (optics) Mathematics Projective geometry |
Zdroj: | Geometriae Dedicata. 214:739-765 |
ISSN: | 1572-9168 0046-5755 |
DOI: | 10.1007/s10711-021-00634-x |
Popis: | One way to study the Kronecker coefficients is to focus on the Kronecker cone, which is generated by the triples of partitions corresponding to non-zero Kronecker coefficients. In this article we are interested in producing particular faces of this cone, formed of stable triples (a notion defined by J. Stembridge in 2014), using some geometric notions—principally those of dominant and well-covering pairs—and results of N. Ressayre. This extends a result obtained independently by L. Manivel and E. Vallejo in 2014 or 2015, expressed in terms of additive matrices. To illustrate the fact that it allows to produce quite a few new faces of the Kronecker cone, we give at the end of the article details about what our results yield for “small dimensions”. |
Databáze: | OpenAIRE |
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