54 citations · 104 across the 14 of their papers we have counts for
Showing 2004 · math.COShow all
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math.CO2004
A combinatorial proof of the Rogers-Ramanujan and Schur identities
Cilanne Boulet, Igor Pak
We give a combinatorial proof of the first Rogers-Ramanujan identity by using two symmetries of a new generalization of Dyson's rank. These symmetries are established by direct bij…
math.CO2004★ 3 cited
Reductions of Young tableau bijections
Igor Pak, Ernesto Vallejo
We introduce notions of linear reduction and linear equivalence of bijections for the purposes of study bijections between Young tableaux. Originating in Theoretical Computer Scien…
math.CO2004
Combinatorics and geometry of Littlewood-Richardson cones
Igor Pak, Ernesto Vallejo
We present several direct bijections between different combinatorial interpretations of the Littlewood-Richardson coefficients. The bijections are defined by explicit linear maps w…