133 citations · 1.4k across the 77 of their papers we have counts for
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Combinatorial Hopf algebras and generalized Dehn-Sommerville relations
Marcelo Aguiar, Nantel Bergeron, Frank Sottile
A combinatorial Hopf algebra is a graded connected Hopf algebra over a field equipped with a character (multiplicative linear functional) . We show that the terminal…
The peak algebra and the Hecke-Clifford algebras at
Nantel Bergeron, Florent Hivert, Jean-Yves Thibon
Using the formalism of noncommutative symmetric functions, we derive the basic theory of the peak algebra of symmetric groups and of its graded Hopf dual. Our main result is to pro…
The peak algebra and the descent algebras of types B and D
Marcelo Aguiar, Nantel Bergeron, Kathryn Nyman
We show the existence of a unital subalgebra of the symmetric group algebra linearly spanned by sums of permutations with a common peak set, which we call the peak algebra. We show…