Hall-Littlewood functions and orthogonal polynomials

DOI10.1007/BF01090684zbMath0760.05090MaRDI QIDQ1814358

Sergei Kerov

Publication date: 25 June 1992

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Hall-Littlewood functionsSchur functionsalgebra of symmetric polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Special polynomials in general fields (12E10) Spherical harmonics (33C55)

Related Items (15)

\(S\)-functions, spectral functions of hyperbolic geometry, and vertex operators with applications to structure for Weyl and orthogonal group invariants ⋮ Factorizations of Pieri rules for Macdonald polynomials ⋮ Kerov functions revisited ⋮ Extensions of the asymptotic symmetry algebra of general relativity ⋮ Hook variables: cut-and-join operators and \(\tau \)-functions ⋮ Vector generation functions, q-spectral functions of hyperbolic geometry, and vertex operators for quantum affine algebras ⋮ 3-Schurs from explicit representation of Yangian \(Y(\hat{\mathfrak{gl}}_1)\). Levels 1--5 ⋮ Hunt for 3-Schur polynomials ⋮ Deformations of Poisson structures by closed 3-forms ⋮ Canonical Hamiltonian representation of the Krichever--Novikov equation ⋮ Symmetric functions, tableaux decompositions and the fermion-boson correspondence ⋮ Cut-and-join operators and Macdonald polynomials from the 3-Schur functions ⋮ Kerov functions for composite representations and Macdonald ideal ⋮ Quantum black holes, elliptic genera and spectral partition functions ⋮ On a complete solution of the quantum Dell system

Cites Work

• Some sign properties of symmetric functions
• Unnamed Item

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