Shift operators and factorial symmetric functions

DOI10.1016/0097-3165(95)90106-XzbMath0821.05056MaRDI QIDQ1344229

Ian P. Goulden, Angèle M. Hamel

Publication date: 12 September 1995

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

symmetric functionJacobi-Trudi identityfactorial Schur functionsshift operatortableaudeterminantal identitiesFerrers diagramskew tableauxfactorial symmetric functions

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Related Items (9)

Interpolation Macdonald polynomials and Cauchy-type identities ⋮ Schubert classes in the equivariant cohomology of the Lagrangian Grassmannian ⋮ Quantum immanants and higher Capelli identities ⋮ Quantum immanants, double Young–Capelli bitableaux and Schur shifted symmetric functions ⋮ Linear transformations of vertex operators of Hall-Littlewood polynomials ⋮ Solving the Ku-Wales conjecture on the eigenvalues of the derangement graph ⋮ Determinantal and Pfaffian identities for ninthvariation skew Schur functions and \(Q\)-functions ⋮ Tokuyama's identity for factorial Schur \(P\) and \(Q\) functions ⋮ Young–Capelli bitableaux, Capelli immanants in U(gl(n)) and the Okounkov quantum immanants

Cites Work

• Unnamed Item
• A new class of symmetric polynomials defined in terms of tableaux
• Binomial determinants, paths, and hook length formulae
• New relations and identities for generalized hypergeometric coefficients
• Nonintersecting paths, pfaffians, and plane partitions
• Enumeration of plane partitions
• The factorial Schur function
• Inhomogeneous basis set of symmetric polynomials defined by tableaux.
• Theory and Application of Plane Partitions: Part 1

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