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4 papers · 2 filters
Combinatorial Hopf algebras and Towers of Algebras
Nantel Bergeron, Thomas Lam, Huilan Li
Bergeron and Li have introduced a set of axioms which guarantee that the Grothendieck groups of a tower of algebras can be endowed with the structure of grad…
Type-II Matrices and Combinatorial Structures
Ada Chan, Chris Godsil
Type-II matrices are a class of matrices used by Jones in his work on spin models. In this paper we show that type-II matrices arise naturally in connection with some interesting c…
On the Descent Algebra of Type
N. Bergeron, S. J. van Willigenburg
Here we give a combinatorial interpretation of Solomon's rule for multiplication in the descent algebra of Weyl groups of type , . From here we show that is a homom…
On the S_n-module structure of the noncommutative harmonics
Emmanuel Briand, Mercedes Rosas, Mike Zabrocki
Using a noncommutative analog of Chevalley's decomposition of polynomials into symmetric polynomials times coinvariants due to Bergeron, Reutenauer, Rosas, and Zabrocki we compute…