Some new identities for Schur functions

DOI10.1006/aama.2001.0746zbMath0990.05128arXivmath/0010252OpenAlexW2017822521MaRDI QIDQ5956778

Frédéric Jouhet, Zeng, Jiang

Publication date: 7 August 2002

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

Full work available at URL: https://arxiv.org/abs/math/0010252

zbMATH Keywords

Schur function

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Related Items

Hall--Littlewood functions and the A\(_2\) Rogers--Ramanujan identities, New identities for Hall-Littlewood polynomials and applications, Refined Cauchy and Littlewood identities, plane partitions and symmetry classes of alternating sign matrices, A generalization of Kawanaka's identity for Hall-Littlewood polynomials and applications, Rogers-Szegő polynomials and Hall-Littlewood symmetric functions, Applications of minor summation formula. III: Plücker relations, lattice paths and Pfaffian identities

Cites Work

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• The number of involutions with \(r\) fixed points and a long increasing subsequence
• Applications of minor summation formulas to rectangular-shaped representations of classical groups
• Elementary proof of MacMahon's conjecture
• Elementary proofs of identities for Schur functions and plane partitions
• Applications of minor-summation formula. II: Pfaffians and Schur polynomials
• Hall-Littlewood Functions, Plane Partitions, and the Rogers-Ramanujan Identities