Constant term identities, orthogonal polynomials and affine Hecke algebras.
Macdonald, Ian G. (1998)
Documenta Mathematica
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Displaying similar documents to “Affine Hecke algebras and orthogonal polynomials”
Constant term identities, orthogonal polynomials and affine Hecke algebras.
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The affine Birman-Wenzl-Murakami algebras can be defined algebraically, via generators and relations, or geometrically as algebras of tangles in the solid torus, modulo Kauffman skein relations. We prove that the two versions are isomorphic, and we show that these algebras are free over any ground ring, with a basis similar to a well known basis of the affine Hecke algebra.
Semimatroids and their Tutte polynomials.
Ardila, Federico (2007)
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Józef Joachim Telega (1977)
Annales Polonici Mathematici
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I. G. MacDonald (1980-1981)
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An affine framework for analytical mechanics
Paweł Urbański (2003)
Banach Center Publications
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An affine Cartan calculus is developed. The concepts of special affine bundles and special affine duality are introduced. The canonical isomorphisms, fundamental for Lagrangian and Hamiltonian formulations of the dynamics in the affine setting are proved.
Affine bijections of C(X,I)
Janko Marovt (2006)
Studia Mathematica
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Let 𝒳 be a compact Hausdorff space which satisfies the first axiom of countability, I = [0,1] and 𝓒(𝒳,I) the set of all continuous functions from 𝒳 to I. If φ: 𝓒(𝒳,I) → 𝓒(𝒳,I) is a bijective affine map then there exists a homeomorphism μ: 𝒳 → 𝒳 such that for every component C in 𝒳 we have either φ(f)(x) = f(μ(x)), f ∈ 𝓒(𝒳,I), x ∈ C, or φ(f)(x) = 1-f(μ(x)), f ∈ 𝓒(𝒳,I), x ∈ C.
Non-isotropic circle translation cyclides of the flag space. I. (Nichtisotrope Kreisschiebzykliden des Flaggenraumes. I.)
Karáné, G.S. (1994)
Beiträge zur Algebra und Geometrie
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Bifurcations of affine invariants for one-parameter family of generic convex plane curves
Takashi Sano (1999)
Banach Center Publications
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We study affine invariants of plane curves from the view point of the singularity theory of smooth functions. We describe how affine vertices and affine inflexions are created and destroyed.
A unification of Knizhnik-Zamalodchikov and Dunkl operators via affine Hecke algebras.
Ivan Cherednik (1991)
Inventiones mathematicae
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Kazhdan–Lusztig basis and a geometric filtration of an affine Hecke algebra, II
Nanhua Xi (2011)
Journal of the European Mathematical Society
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An affine Hecke algebras can be realized as an equivariant -group of the corresponding Steinberg variety. This gives rise naturally to some two-sided ideals of the affine Hecke algebra by means of the closures of nilpotent orbits of the corresponding Lie algebra. In this paper we will show that the two-sided ideals are in fact the two-sided ideals of the affine Hecke algebra defined through two-sided cells of the corresponding affine Weyl group after the two-sided ideals are tensored...