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math.CO2007
Combinatorial Hopf algebras and K-homology of Grassmanians
Thomas Lam, Pavlo Pylyavskyy
Motivated by work of Buch on set-valued tableaux in relation to the K-theory of the Grassmannian, we study six combinatorial Hopf algebras. These Hopf algebras can be thought of as…
math.CO2007★ 6 cited
Cyclotomic factors of the descent set polynomial
Denis Chebikin, Richard Ehrenborg, Pavlo Pylyavskyy +1
We introduce the notion of the descent set polynomial as an alternative way of encoding the sizes of descent classes of permutations. Descent set polynomials exhibit interesting fa…