Word symmetric functions and the Redfield-Pólya theorem

Jean-Gabriel Luque (1) , Ali Chouria (1) , Jean-Paul Bultel (1) , Olivier Mallet (1)

1 CA - LITIS - Equipe Combinatoire et algorithmes

We give noncommutative versions of the Redfield-Pólya theorem in WSym, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.

Domaines: Combinatoire [math.CO]

Jean-Gabriel Luque, Ali Chouria, Jean-Paul Bultel, Olivier Mallet. Word symmetric functions and the Redfield-Pólya theorem. 2013. ⟨hal-00793788⟩