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In mathematics, an affine braid group is a braid group associated to an affine Coxeter system. Their group rings have quotients called affine Hecke algebras. They are subgroups of double affine braid groups.
Definition
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References
edit- Haiman, Mark (2006), "Cherednik algebras, Macdonald polynomials and combinatorics", International Congress of Mathematicians, Vol. III, European Mathematical Society, Zürich, pp. 843–872, ISBN 978-3-03719-022-7, MR 2275709, archived from the original on 2011-08-20, retrieved 2011-06-10
- Macdonald, I. G. Affine Hecke Algebras and Orthogonal Polynomials. Cambridge Tracts in Mathematics, 157. Cambridge University Press, Cambridge, Eng., 2003. x+175 pp. ISBN 0-521-82472-9 MR1976581
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