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math.CO2001
Noncommutative symmetric functions and quasi-symmetric functions with two and more paramters
F. Hivert, A. Lascoux, J. -Y. Thibon
We define two-parameter families of noncommutative symmetric functions and quasi-symmetric functions, which appear to be the proper analogues of the Macdonald symmetric functions i…
math.CO2001
Vertex operators and the class algebras of symmetric groups
A. Lascoux, J. -Y. Thibon
We exhibit a vertex operator which implements multiplication by power-sums of Jucys-Murphy elements in the centers of the group algebras of all symmetric groups simultaneously. The…