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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.


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 doi:10.2277/0521824729

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