Littlewood-Richardson rules for Grassmannians

DOI10.1016/S0001-8708(03)00165-8zbMath1053.05121arXivmath/0306391OpenAlexW2593404493MaRDI QIDQ1826881

Anders Skovsted Buch, Harry Tamvakis, Andrew Kresch

Publication date: 6 August 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306391

zbMATH Keywords

Schur functionsGrassmannianLittlewood-Richardson rulePieri formulaSchubert class

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items

Pieri rules for the K-theory of cominuscule Grassmannians, A combinatorial proof of the reduction formula for Littlewood-Richardson coefficients, Shifted tableau switchings and shifted Littlewood-Richardson coefficients, A product formula for certain Littlewood-Richardson coefficients for Jack and Macdonald polynomials, Schubert calculus and quiver varieties, Restriction varieties and geometric branching rules, Littlewood-Richardson coefficients for reflection groups., A new Littlewood-Richardson rule for Schur 𝑃-functions, Gromov-Witten invariants on Grassmannians, Unnamed Item, The puzzle conjecture for the cohomology of two-step flag manifolds

Cites Work

• Pieri formula for \(SO_{2n+1}/U_ n\) and \(Sp_ n/U_ n\)
• Shifted tableaux, Schur q-functions, and a conjecture of R. Stanley
• Shifted tableaux and the projective representations of symmetric groups
• Multiplying Schur \(Q\)-functions
• Puzzles and (equivariant) cohomology of Grassmannians
• A simple proof of the Littlewood-Richardson rule and applications.
• The honeycomb model of 𝐺𝐿_{𝑛}(ℂ) tensor products II: Puzzles determine facets of the Littlewood-Richardson cone
• Group characters and algebra
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