Redfield-Pólya theorem in $\mathrm{WSym}$

Abstract

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

Keywords

• operads
• symmetric functions
• redfield-pólya theorem
• combinatorial hopf algebras
• [info.info-dm] computer science [cs]/discrete mathematics [cs.dm]