Quasi-symmetric and non-commutative affine Schur functions

2012/05/10 by Chris Berg, Luis Serrano, Berg, Chris +1
Mathematics · #05E05 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05E05

paper · pdf · doi:10.48550/arxiv.1205.2331

arxiv created 2012/05/10 · arxiv updated 2012/05/11

Abstract

We introduce dual Hopf algebras which simultaneously combine the concepts of the k-Schur function theory with the quasi-symmetric Schur function theory. We construct dual basis of these Hopf algebras with remarkable properties.

Related

• Symmetric functions, noncommutative symmetric functions, and quasisymmetric functions
• A Hopf algebraic approach to Schur function identities
• A Hopf algebra generalization of the symmetric functions in partially commutative variables
• A Lift of the Schur and Hall–Littlewood Bases to Non-commutative Symmetric Functions
• q-symmetric functions and q-quasisymmetric functions