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formal group algebra

Journal of the Institute of Mathematics of Jussieu (1)

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1 results

ON THE FORMAL AFFINE HECKE ALGEBRA
Part of
- Representation theory of groups
- (Co)homology theory
Changlong Zhong
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 14 / Issue 4 / October 2015

Published online by Cambridge University Press:

09 June 2014, pp. 837-855

Print publication:

October 2015
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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.