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The Weyl group of a root system is a subgroup generated by reflections through the hyperplanes orthogonal to the roots.

6 votes

Definitions of Hecke algebras

The motivation for studying Iwahori-Hecke algebras (the convolution type) is the study of the unramified principal series representations. The details can get lengthy, but it is all in a paper of Bore …
Amritanshu Prasad's user avatar