Skew Littlewood-Richardson rules from Hopf algebras Academic Article uri icon

abstract

  • We use Hopf algebras to prove a version of the Littlewood-Richardson rule for skew Schur functions, which implies a conjecture of Assaf and McNamara. We also establish skew Littlewood-Richardson rules for Schur P- and Q-functions and noncommutative ribbon Schur functions, as well as skew Pieri rules for k-Schur functions, dual k-Schur functions, and for the homology of the affine Grassmannian of the symplectic group. © The Author 2010. Published by Oxford University Press. All rights reserved.

author list (cited authors)

  • Lam, T., Lauve, A., & Sottile, F.

citation count

  • 9

publication date

  • March 2011