A skein-like multiplication algorithm for unipotent Hecke algebras
نویسنده
چکیده
LetG be a finite group of Lie type (e.g. GLn(Fq)) and U a maximal unipotent subgroup of G. If ψ is a linear character of U , then the unipotent Hecke algebra isHψ = EndCG(Ind G U (ψ)). Unipotent Hecke algebras have a natural basis coming from double cosets of U in G. This paper describes relations for reducing products of basis elements, and gives a detailed description of the implications in the case G = GLn(Fq).
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