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math.CO2009
The biHecke monoid of a finite Coxeter group
Florent Hivert, Anne Schilling, Nicolas M. Thiéry
The usual combinatorial model for the 0-Hecke algebra of the symmetric group is to consider the algebra (or monoid) generated by the bubble sort operators. This construction genera…
math.CO2009★ 1 cited
The (1-E)-transform in combinatorial Hopf algebras
F. Hivert, J. -G. Luque, J. -C. Novelli +1
We extend to several combinatorial Hopf algebras the endomorphism of symmetric functions sending the first power-sum to zero and leaving the other ones invariant. As a transformati…