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Kronecker coefficients: the tensor square conjecture and unimodality

We consider two aspects of Kronecker coefficients in the directions of representation theory and combinatorics. We consider a conjecture of Jan Saxl stating that the tensor square of the $S_n$-irreducible representation indexed by the staircase partition contains every irreducible representation of...

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Autori principali: Igor Pak, Greta Panova, Ernesto Vallejo
Natura: Artigo
Lingua:Inglês
Pubblicazione: Discrete Mathematics & Theoretical Computer Science 2014-01-01
Serie:Discrete Mathematics & Theoretical Computer Science
Soggetti:
kronecker coefficients
symmetric group
irreducible representations
tensor square
unimodality
integer partitions
gaussian coefficients
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
[math.math-co] mathematics [math]/combinatorics [math.co]
Accesso online:https://dmtcs.episciences.org/2388/pdf
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