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arXiv · 0908.3714

Skew Littlewood-Richardson rules from Hopf algebras

Thomas Lam·Aaron Lauve·Frank Sottile
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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.

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Thomas Lam, Aaron Lauve, Frank Sottile. 2009-11-06. Skew Littlewood-Richardson rules from Hopf algebras. https://arxiv.org/abs/0908.3714

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