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math.CO2004★ 5 cited
Representation theory of the 0-Ariki-Koike-Shoji algebras
F. Hivert, J. -C. Novelli, J. -Y. Thibon
We investigate the representation theory of certain specializations of the Ariki-Koike algebras, obtained by setting in a suitably normalized version of Shoji's presentation.…
math.CO2004★ 22 cited
Free quasi-symmetric functions of arbitrary level
Jean-Christophe Novelli, Jean-Yves Thibon
We introduce analogues of the Hopf algebra of Free quasi-symmetric functions with bases labelled by colored permutations. As applications, we recover in a simple way the descent al…