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math.CO2008
Pairs of Noncrossing Free Dyck Paths and Noncrossing Partitions
William Y. C. Chen, Sabrina X. M. Pang, Ellen X. Y. Qu +1
Using the bijection between partitions and vacillating tableaux, we establish a correspondence between pairs of noncrossing free Dyck paths of length and noncrossing partition…
math.CO2001
Irreducible Symmetric Group Characters of Rectangular Shape
Richard P. Stanley
We give a new formula for the values of an irreducible character of the symmetric group S_n indexed by a partition of rectangular shape. Some observations and a conjecture are give…