Changes between Version 10 and Version 11 of Ticket #7729
 Timestamp:
 Jan 2, 2010, 11:01:55 PM (13 years ago)
Legend:
 Unmodified
 Added
 Removed
 Modified

Ticket #7729 – Description
v10 v11 1 The attached patch implements Iwahori Hecke algebras. Given a Cartan Type , the Iwahori Hecke algebra is a deformation of the group algebra over the Weyl group. It has generators in bijection with the simple reflections of the Weyl group that satisfy simple quadratic relations of the form {{{(T_iq1)*(T_iq2)}}} = 0. Often we default q2=1, q1=q in which case the relation is of the form {{{T_i^2=(q1)T_i+q}}}. The generators also satisfy the braid relations.1 The attached patch implements Iwahori Hecke algebras. Given a Cartan Type (finite or affine), the Iwahori Hecke algebra is a deformation of the group algebra over the Weyl group. It has generators in bijection with the simple reflections of the Weyl group that satisfy simple quadratic relations of the form {{{(T_iq1)*(T_iq2)}}} = 0. Often we default q2=1, q1=q in which case the relation is of the form {{{T_i^2=(q1)T_i+q}}}. The generators also satisfy the braid relations. 2 2 3 3 {{{