Mathematics – Combinatorics
Scientific paper
2009-08-26
Mathematics
Combinatorics
10 pages, 10 .eps files. Reference added
Scientific paper
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.
Lam Thomas
Lauve Aaron
Sottile Frank
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