Hecke Algebras and K–Theory

  • Neil Chriss
  • Victor Ginzburg
Part of the Modern Birkhäuser Classics book series (MBC)


Let RP be a reduced (not necessarily finite) root system as defined, e.g., in 3.1.22. There is a slight difference with 3.1.22, since now we are working with lattices instead of vector spaces. This makes axiom 3.1.22(3) superfluous. Thus it is assumed only that, in addition to the above data, a subset R vP v, called the dual root system, and a specified bijection RR v, α ↔ ᾰ are given such that the following three properties hold.


Vector Space Root System Algebraic Geometry Topological Group Cell Complex 
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Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Financial Mathematics DepartmentUniversity of ChicagoChicagoUSA
  2. 2.Department of MathematicsUniversity of ChicagoChicagoUSA

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