scientific article; zbMATH DE number 2038300

Publication date: 4 February 2004

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Schur functions orthogonal polynomials Padé approximation continued fractions Cauchy kernel Schubert polynomials Euclidean algorithm divided differences $\lambda$-rings cohomology of Grassmannian

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Grassmannians, Schubert varieties, flag manifolds (14M15) Padé approximation (41A21) Approximation by polynomials (41A10)

Related Items

Notes on Schubert, Grothendieck and key polynomials, Average-case complexity of the Euclidean algorithm with a fixed polynomial over a finite field, Littlewood-Richardson polynomials, A note on systems of equations of power sums, Multivariate subresultants in roots, The differential equation satisfied by a plane curve of degree $n$, Difference operators for partitions and some applications, Combinatorial properties of the noncommutative Faà di Bruno algebra., Symmetric polynomials in the symplectic alphabet and the change of variables $z_j = x_j + x_j^{-1}$, Remarks on the paper ``skew Pieri rules for Hall-Littlewood functions by Konvalinka and Lauve, Constant term identities and Poincaré polynomials, The set of unattainable points for the rational Hermite interpolation problem, Hall-Littlewood polynomials and characters of affine Lie algebras, Combinatorial and probabilistic formulae for divided symmetrization, A Selberg integral for the Lie algebra $A_n$, Sparse multivariate polynomial interpolation on the basis of Schubert polynomials, Some combinatorial properties of hook lengths, contents, and parts of partitions, Macdonald operators at infinity, Refined dual Grothendieck polynomials, integrability, and the Schur measure, Hankel determinants of linear combinations of moments of orthogonal polynomials. II, A multiset hook length formula and some applications, Frozen pipes: lattice models for Grothendieck polynomials, Combinatorics of the $K$-theory of affine grassmannians, Splitting algebras and Gysin homomorphisms, Universal characters twisted by roots of unity, Free fermions and canonical Grothendieck polynomials, A computational and combinatorial exposé of plethystic calculus, The $(1-\mathbb{E})$-transform in combinatorial Hopf algebras, Schur $Q$-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux, Free fermions and Schur expansions of multi-Schur functions, A new elliptic interpolation formula via the $(f,g)$-inversion, Linear extension sums as valuations on cones, A note on Cauchy's formula, Plane overpartitions and cylindric partitions, Combinatorics of Poincaré’s and Schröder’s equations, Hall algebras of curves, commuting varieties and Langlands duality, The AFLT $q$-Morris constant term identity, The degree of the discriminant of irreducible representations, Deformed Kazhdan-Lusztig elements and Macdonald polynomials, On combinatorial expansion of the conformal blocks arising from AGT conjecture, Subresultants, Sylvester sums and the rational interpolation problem, Generalizations of Cauchy's determinant and Schur's Pfaffian, Thom polynomials and Schur functions: The singularities $I_{2,2}(-)$, Minor summation formula and a proof of Stanley's open problem, Generalized tight $p$-frames and spectral bounds for Laplace-like operators, Vertex operators arising from Jacobi-Trudi identities, Pieri rules for Schur functions in superspace, Two positivity conjectures for Kerov polynomials, A Newton type rational interpolation formula, AFLT-type Selberg integrals, Factorization formulas for Macdonald polynomials, Noncommutative symmetric functions and Lagrange inversion, Thom polynomials and Schur functions: the singularities $A_3(-)$, Branching rules for symmetric functions and $\mathfrak{sl}_n$ basic hypergeometric series, Narayana polynomials and Hall-Littlewood symmetric functions, Evaluation of some Hankel determinants, Tensor algebras and displacement structure. IV. Invariant kernels, Conformal blocks in the tensor product of vector representations and localization formulas, The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications, The ${\mathfrak{sl}}_3$ Selberg integral, An (inverse) Pieri formula for Macdonald polynomials of type $C$, Double Macdonald polynomials as the stable limit of Macdonald superpolynomials, Partition analysis and symmetrizing operators, Pfaffians and representations of the symmetric group, Combinatorial entropies and statistics, Inversion of the Pieri formula for Macdonald polynomials, A $2n$-point interpolation formula with its applications to $q$-identities, Crystal bases and combinatorics of infinite rank quantum groups, A Nekrasov-Okounkov formula for Macdonald polynomials, Rogers-Szegő polynomials and Hall-Littlewood symmetric functions, Critical points of master functions and integrable hierarchies, A comment on the combinatorics of the vertex operator $\Gamma_{(t|X)}$, Explicit computations with the divided symmetrization operator, Nonsymmetric interpolation Macdonald polynomials and ${\mathfrak {gl}}_n$ basic hypergeometric series, Rectangular symmetries for coefficients of symmetric functions, An approach towards Schubert positivities of polynomials using Kraśkiewicz-Pragacz modules, Unnamed Item, On the $q$-Dyson orthogonality problem, Combining hook length formulas and BG-ranks for partitions via the Littlewood decomposition, Factorial-type Schur functions, orthogonal rational functions, and discrete dressing chains, Trying to Solve a Linear System for Strict Partitions in ‘Closed Form’, Hecke group algebras as quotients of affine Hecke algebras at level 0., Non-symmetric Cauchy kernels for the classical groups, The Hecke group algebra of a Coxeter group and its representation theory., A weak version of Kirillov's conjecture on Hecke-Grothendieck polynomials, Two integer sequences related to Catalan numbers, Jack polynomials and free cumulants, Duplicial algebras, parking functions, and Lagrange inversion, Bounded Littlewood identities, Polynomiality of Plancherel averages of hook-content summations for strict, doubled distinct and self-conjugate partitions, Minimal solutions of the rational interpolation problem, Division and the Giambelli identity, On the Saturation Conjecture for Spin(2n), Factorizations of symmetric Macdonald polynomials, Advanced determinant calculus: a complement, Geometric descriptions of entangled states by auxiliary varieties