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Involutions of Iwahori–Hecke Algebras and Representations of Fixed Subalgebras

✍ Scribed by Hideo Mitsuhashi


Publisher
Springer Netherlands
Year
2010
Tongue
English
Weight
558 KB
Volume
15
Category
Article
ISSN
1386-923X

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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