Changes between Version 10 and Version 11 of Ticket #7729


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Timestamp:
Jan 2, 2010, 11:01:55 PM (13 years ago)
Author:
Daniel Bump
Comment:

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  • 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_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 (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_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{{{