Add to ORKGAbstract. An overview of the basic results on Macdonald-Koornwinder polynomials and double affine Hecke algebras is given. We develop the theory in such a way that it naturally encompasses all known cases as well as a new rank two case. Among the basic properties of the Macdonald-Koornwinder polynomials we treat are the quadratic norm formulas, duality and the evaluation formulas. This text is a provisional version of a chapter on Macdonald-Koornwinder polynomials for volume 5 of the Askey-Batema
When one expands a Schur function in terms of the irreducible characters of the symplectic ...
This reissued classic text is the acclaimed second edition of Professor Ian Macdonald's groundbreaki...
85 pages, 5 figuresInternational audienceThis paper defines and investigates nonsymmetric Macdonald ...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 Rome / CNR - Consiglio ...
First account of a theory, created by Macdonald, of a class of orthogonal polynomial, which is relat...
AbstractWe consider the polynomial representation of Double Affine Hecke Algebras (DAHAs) and constr...
AbstractWe consider the polynomial representation of Double Affine Hecke Algebras (DAHAs) and constr...
The affine Hecke algebra of type A has two parameters q,t and acts on polynomials in N variables. Th...
Generalizing the characters of compact simple Lie groups, Ian Macdonald introduced in [M1,M2] and ot...
Generalizing the characters of compact simple Lie groups, Ian Macdonald introduced in [M1,M2] and ot...
This paper surveys eight classes of polynomials associated with A-type and BC-type root systems: Jac...
Perhaps the nicest multivariate orthogonal polynomials are the Macdonald and Koornwinder polynomials...
Perhaps the nicest multivariate orthogonal polynomials are the Macdonald and Koornwinder polynomials...
This is an essentially self-contained monograph centered on the new double Hecke algebra technique
AbstractWe establish a connection between (degenerate) nonsymmetric Macdonald polynomials and standa...
When one expands a Schur function in terms of the irreducible characters of the symplectic ...
This reissued classic text is the acclaimed second edition of Professor Ian Macdonald's groundbreaki...
85 pages, 5 figuresInternational audienceThis paper defines and investigates nonsymmetric Macdonald ...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 Rome / CNR - Consiglio ...
First account of a theory, created by Macdonald, of a class of orthogonal polynomial, which is relat...
AbstractWe consider the polynomial representation of Double Affine Hecke Algebras (DAHAs) and constr...
AbstractWe consider the polynomial representation of Double Affine Hecke Algebras (DAHAs) and constr...
The affine Hecke algebra of type A has two parameters q,t and acts on polynomials in N variables. Th...
Generalizing the characters of compact simple Lie groups, Ian Macdonald introduced in [M1,M2] and ot...
Generalizing the characters of compact simple Lie groups, Ian Macdonald introduced in [M1,M2] and ot...
This paper surveys eight classes of polynomials associated with A-type and BC-type root systems: Jac...
Perhaps the nicest multivariate orthogonal polynomials are the Macdonald and Koornwinder polynomials...
Perhaps the nicest multivariate orthogonal polynomials are the Macdonald and Koornwinder polynomials...
This is an essentially self-contained monograph centered on the new double Hecke algebra technique
AbstractWe establish a connection between (degenerate) nonsymmetric Macdonald polynomials and standa...
When one expands a Schur function in terms of the irreducible characters of the symplectic ...
This reissued classic text is the acclaimed second edition of Professor Ian Macdonald's groundbreaki...
85 pages, 5 figuresInternational audienceThis paper defines and investigates nonsymmetric Macdonald ...