A generalization of Schur's \(P\)- and \(Q\)-functions

zbMath1447.05229arXiv1904.03386MaRDI QIDQ2199800

Soichi Okada

Publication date: 14 September 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.03386

zbMATH Keywords

Hall-Littlewood functionsPfaffianfactorial \(P\)-/\(Q\)-functionsMacdonald's ninth variationSchur \(P\)-/\(Q\)-functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Classical problems, Schubert calculus (14N15)

Related Items (4)

Expanding \(K\) theoric Schur \(Q\)-functions ⋮ Ninth variation of classical group characters of type A-D and Littlewood identities ⋮ Symplectic \(Q\)-functions ⋮ Pfaffian formulas and Schur \(Q\)-function identities

Cites Work

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• \(K\)-theoretic analogues of factorial Schur \(P\)- and \(Q\)-functions
• Schur functions: Theme and variations
• Orthogonal polynomials associated with root systems
• The Poincaré series of a Coxeter group
• Overlapping Pfaffians
• Pfaffian formulas and Schur \(Q\)-function identities
• Dual multiparameter Schur Q-functions
• Excited Young diagrams and equivariant Schubert calculus
• A Determinantal Formula for Skew Q -Functions
• A Littlewood-Richardson rule for factorial Schur functions
• Generalized (co)homology of the loop spaces of classical groups and the universal factorial Schur $P$- and $Q$-functions
• A Note on the Multiplication of Hall Functions
• Hall-Littlewood symmetric functions and the BKP equation
• Combinatorial formula for factorial Schur \(Q\)-functions

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