Representation Theory and Complex Geometry pp 361-410 | Cite as

# Hecke Algebras and K–Theory

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## Abstract

Let *R* ⊂ *P* 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* ^{v} ⊂ *P* ^{v}, called the dual root system, and a specified bijection *R* ↔ *R* ^{v}, α ↔ ᾰ are given such that the following three properties hold.

## Keywords

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

© Birkhäuser Boston 2010