Skew Littlewood-Richardson Rules from Hopf Algebras
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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. © 2010 Discrete Mathematics and Theoretical Computer Science (DMTCS), Nancy, France.
author list (cited authors)
Lam, T., Lauve, A., & Sottile, F.