The factorial Schur function
From MaRDI portal
Publication:3141407
DOI10.1063/1.530032zbMath0787.05091OpenAlexW1988039240MaRDI QIDQ3141407
James D. Louck, William Y. C. Chen
Publication date: 19 May 1994
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530032
Symmetric functions and generalizations (05E05) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)
Related Items
Interpolation Macdonald polynomials and Cauchy-type identities, Shift operators and factorial symmetric functions, Schubert classes in the equivariant cohomology of the Lagrangian Grassmannian, Equivariant quantum cohomology of the Grassmannian via the rim hook rule, Quantum immanants and higher Capelli identities, Quantum immanants, double Young–Capelli bitableaux and Schur shifted symmetric functions, Stanley's zrank conjecture on skew partitions, Free fermionic Schur functions, Linear transformations of vertex operators of Hall-Littlewood polynomials, Solving the Ku-Wales conjecture on the eigenvalues of the derangement graph, Lower order terms in the full moment conjecture for the Riemann zeta function, Determinantal and Pfaffian identities for ninthvariation skew Schur functions and \(Q\)-functions, Tokuyama's identity for factorial Schur \(P\) and \(Q\) functions, Equivariant Littlewood-Richardson skew tableaux, Factorial characters of the classical Lie groups, Giambelli formulae for the equivariant quantum cohomology of the Grassmannian, The flagged double Schur function, Factorial-type Schur functions, orthogonal rational functions, and discrete dressing chains, Young–Capelli bitableaux, Capelli immanants in U(gl(n)) and the Okounkov quantum immanants, Identities on factorial Grothendieck polynomials, On computing Schur functions and series thereof
Cites Work
- Schur functions and the invariant polynomials characterizing U(n) tensor operators
- An umbral calculus for polynomials characterizing U(n) tensor operators
- A new class of symmetric polynomials defined in terms of tableaux
- Some properties of generalized hypergeometric coefficients
- Schur functions, Good's identity, and hypergeometric series well poised in SU(n)
- A q-analog of the \(_5F_4(1)\) summation theorem for hypergeometric series well-poised in \(SU(n)\)
- A new symmetry related to SU(n) for clasical basic hypergeometric series
- A new symmetry for Biedenharn's G-functions and classical hypergeometric series
- A q-analog of hypergeometric series well-poised in SU(n) and invariant G-functions
- Basic hypergeometric series very well-poised in U(n)
- Zeros of Racah coefficients and the Pell equation
- Quadratic forms of skew Schur functions
- Hypergeometric series well-poised in SU(n) and a generalization of Biedenharn's G-functions
- The invariant polynomials characterizing \(U(n)\) tensor operators \(<p,q,\dots ,p,0,\dots ,0>\) having maximal null space
- New relations and identities for generalized hypergeometric coefficients
- A generalization of the Gauß hypergeometric series
- Invariant theory, Young bitableaux, and combinatorics
- Inhomogeneous basis set of symmetric polynomials defined by tableaux.
- On the denominator function for canonical SU(3) tensor operators
- The invariant theory of binary forms
- A Whipple’s Transformation for Hypergeometric Series in $U(n)$ and Multivariable Hypergeometric Orthogonal Polynomials
- Multilateral Summation Theorems for Ordinary and Basic Hypergeometric Series in $U(n)$.
- On the denominator function for canonical SU(3) tensor operators. II. Explicit polynomial form
- Weight-2 zeros of 3j coefficients and the Pell equation
- A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols
- Some Hypergeometric Orthogonal Polynomials
- Summation Theorems for Hypergeometric Series in $U(n)$
- A Set of Hypergeometric Orthogonal Polynomials
- Divided Differences and Combinatorial Identities
- On Hypergeometric Series Well-Poised in $SU(n)$
- Theory and Application of Plane Partitions: Part 1