Changes between Version 2 and Version 3 of Ticket #7729


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Dec 18, 2009, 1:55:45 AM (13 years ago)
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  • Ticket #7729 – Description

    v2 v3  
    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_i-q1)*(T_i-q2) = 0. Often we default q2=-1, q1=q in which case the relation is of the form T_i^2=(q-1)T_i+q. The generators also satisfy the braid relations. 
     1The 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_i-q1)*(T_i-q2)}}} = 0. Often we default q2=-1, q1=q in which case the relation is of the form {{{T_i^2=(q-1)T_i+q}}}. The generators also satisfy the braid relations. 
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    33{{{