Geodesic
Skew Littlewood―Richardson rules from Hopf algebras
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010) (2010).

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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. 
@article{DMTCS_2010_special_259_a48,
     author = {Lam, Thomas and Lauve, Aaron and Sottile, Frank},
     title = {Skew {Littlewood{\textemdash}Richardson} rules from {Hopf} algebras},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)},
     year = {2010},
     doi = {10.46298/dmtcs.2853},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2853/}
}
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Lam, Thomas; Lauve, Aaron; Sottile, Frank. Skew Littlewood―Richardson rules from Hopf algebras. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010) (2010). doi : 10.46298/dmtcs.2853. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2853/

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