Constant term identities, orthogonal polynomials and affine Hecke algebras.
Macdonald, Ian G. (1998)
Documenta Mathematica
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Macdonald, Ian G. (1998)
Documenta Mathematica
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Frederick M. Goodman, Holly Hauschild (2006)
Fundamenta Mathematicae
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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.
Ivan Cherednik (1991)
Inventiones mathematicae
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I. G. MacDonald (1994-1995)
Séminaire Bourbaki
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Khaled Benmeriem, Chikh Bouzar (2010)
Banach Center Publications
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Algebras of ultradifferentiable generalized functions satisfying some regularity assumptions are introduced. We give a microlocal analysis within these algebras related to the affine regularity type and the ultradifferentiability property. As a particular case we obtain new algebras of Gevrey generalized functions.
T.Y. Lam, M.D. Choi, Z.D. Dai (1982)
Journal für die reine und angewandte Mathematik
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Hans Wenzl (1988)
Inventiones mathematicae
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Haviar, M. (1993)
Acta Mathematica Universitatis Comenianae. New Series
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V.G. Kac, I.B. Frenkel (1980/81)
Inventiones mathematicae
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Terry Gannon (1995)
Inventiones mathematicae
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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...
Józef Joachim Telega (1977)
Annales Polonici Mathematici
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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.
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.
Cruceanu, Vasile (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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