Affine braid group

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.

References

• 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, http://mathunion.org/ICM/ICM2006.3/, 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