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• W2346688225 abstract "We present several upper and lower bounds on the Kronecker coefficients of the symmetric group. We prove $k$-stability of the Kronecker coefficients generalizing the (usual) stability, and giving a new upper bound. We prove a lower bound via the characters of $S_n$. We apply these and other results to generalize Sylvester's unimodality of the $q$-binomial coefficients $binom{n}{k}_q$ as polynomials in $q$: we derive explicit sharp bounds on the differences of their consecutive coefficients." @default.
• W2346688225 created "2016-06-24" @default.
• W2346688225 creator A5049864711 @default.
• W2346688225 creator A5080560017 @default.
• W2346688225 date "2014-06-11" @default.
• W2346688225 modified "2023-09-26" @default.
• W2346688225 title "Bounds on the Kronecker coefficients" @default.
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• W2346688225 hasPublicationYear "2014" @default.
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