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math.CO2011★ 4 cited
Bijections and symmetries for the factorizations of the long cycle
Olivier Bernardi, Alejandro H. Morales
We study the factorizations of the permutation into factors of given cycle types. Using representation theory, Jackson obtained for each an elegant formula fo…
math.CO2011
Direct bijective computation of the generating series for 2 and 3-connection coefficients of the symmetric group
Alejandro H. Morales, Ekaterina A. Vassilieva
We evaluate combinatorially certain connection coefficients of the symmetric group that count the number of factorizations of a long cycle as a product of three permutations. Such…