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math.CO2025
A bijection for descent sets of permutations with only even and only odd cycles
Sergi Elizalde
It is known that, when is even, the number of permutations of all of whose cycles have odd length equals the number of those all of whose cycles have even len…
math.CO2025
Symmetry of ascent and descent distributions on rectangular and staircase tableaux
Sergi Elizalde
We give direct bijective proofs of the symmetry of the distributions of the number of ascents and descents over standard Young tableaux of shape , where is a rectangle $(n,n…