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The Value Ring of Geometric Motivic Integration, and the Iwahori Hecke Algebra ofSL2

✍ Scribed by Ehud Hrushovski; David Kazhdan; Nir Avni


Publisher
Springer
Year
2008
Tongue
English
Weight
467 KB
Volume
17
Category
Article
ISSN
1016-443X

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Formulae relating the Bernstein and Iwah
✍ Thomas J. Haines; Alexandra Pettet 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 193 KB

We consider the "anti-dominant" variants Θ - λ of the elements Θ λ occurring in the Bernstein presentation of an affine Hecke algebra H. We find explicit formulae for Θ - λ in terms of the Iwahori-Matsumoto generators T w (w ranging over the extended affine Weyl group of the root system R), in the c