Abacus Proofs of Schur Function Identities

DOI10.1137/090753462zbMath1225.05240OpenAlexW1975503346MaRDI QIDQ3013135

Nicholas A. Loehr

Publication date: 18 July 2011

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10919/48140

zbMATH Keywords

Schur functionsLittlewood-Richardson rulestableauxsymmetric polynomialsPieri rulesabaciinverse kostka matrix

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Symmetric functions and generalizations (05E05)

Related Items (9)

Abacus-tournament models for Hall-Littlewood polynomials ⋮ Abacus proofs of Schur expansions of Macdonald polynomials ⋮ An Introduction to Schur Polynomials ⋮ A generalized SXP rule proved by bijections and involutions ⋮ Abacus proofs of Cauchy product identities for Schur polynomials ⋮ Abacus-histories and the combinatorics of creation operators ⋮ Unnamed Item ⋮ A Combinatorial Proof of a Plethystic Murnaghan--Nakayama Rule ⋮ Position sequences and a \(q\)-analogue for the modular hook length formula

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