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ON THE FORMAL AFFINE HECKE ALGEBRA

Part of: Representation theory of groups (Co)homology theory

Published online by Cambridge University Press:  09 June 2014

Changlong Zhong
Changlong Zhong*
Affiliation:
Fields Institute and University of Ottawa, Canada (zhongusc@gmail.com)
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Abstract

We study the action of the formal affine Hecke algebra on the formal group algebra, and show that the the formal affine Hecke algebra has a basis indexed by the Weyl group as a module over the formal group algebra. We also define a concept called the normal formal group law, which we use to simplify the relations of the generators of the formal affine Demazure algebra and the formal affine Hecke algebra.

Keywords

formal group lawaffine Hecke algebraformal group algebra

MSC classification

Primary: 20C08: Hecke algebras and their representations 14F43: Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 14 , Issue 4 , October 2015 , pp. 837 - 855
Copyright
© Cambridge University Press 2014 

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