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- Macdonald_polynomials abstract "In mathematics, Macdonald polynomials Pλ(x; t,q) are a family of orthogonal polynomials in several variables, introduced by Macdonald (1987). Macdonald originally associated his polynomials with weights λ of finite root systems and used just one variable t, but later realized that it is more natural to associate them with affine root systems rather than finite root systems, in which case the variable t can be replaced by several different variables t=(t1,...,tk), one for each of the k orbits of roots in the affine root system. The Macdonald polynomials are polynomials in n variables x=(x1,...,xn), where n is the rank of the affine root system. They generalize many other families of orthogonal polynomials, such as Jack polynomials and Hall–Littlewood polynomials and Askey–Wilson polynomials, which in turn include most of the named 1-variable orthogonal polynomials as special cases. Koornwinder polynomials are Macdonald polynomials of certain non-reduced root systems. They have deep relationships with affine Hecke algebras and Hilbert schemes, which were used to prove several conjectures made by Macdonald about them.".
- Macdonald_polynomials wikiPageExternalLink MPWP.
- Macdonald_polynomials wikiPageExternalLink ~mhaiman.
- Macdonald_polynomials wikiPageExternalLink newt.pdf.
- Macdonald_polynomials wikiPageExternalLink 1088530398.
- Macdonald_polynomials wikiPageExternalLink home.html.
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- Macdonald_polynomials wikiPageID "10354285".
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- Macdonald_polynomials b "1".
- Macdonald_polynomials b "n".
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- Macdonald_polynomials p "∨".
- Macdonald_polynomials subject Category:Algebraic_combinatorics.
- Macdonald_polynomials subject Category:Algebraic_geometry.
- Macdonald_polynomials subject Category:Orthogonal_polynomials.
- Macdonald_polynomials type Abstraction100002137.
- Macdonald_polynomials type Function113783816.
- Macdonald_polynomials type MathematicalRelation113783581.
- Macdonald_polynomials type OrthogonalPolynomials.
- Macdonald_polynomials type Polynomial105861855.
- Macdonald_polynomials type Relation100031921.
- Macdonald_polynomials comment "In mathematics, Macdonald polynomials Pλ(x; t,q) are a family of orthogonal polynomials in several variables, introduced by Macdonald (1987).".
- Macdonald_polynomials label "Macdonald polynomials".
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- Macdonald_polynomials sameAs Q17098676.
- Macdonald_polynomials sameAs Q17098676.
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- Macdonald_polynomials wasDerivedFrom Macdonald_polynomials?oldid=602775244.
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