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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
About Division by 1
Alain Lascoux
The Euclidean division of two formal series in one variable produces a sequence of series that we obtain explicitly, remarking that the case where one of the two initial series is…
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…