Baptiste Calmes, Kirill Zainoulline, and Changlong Zhong: A coproduct structure on the formal affine Demazure algebra

Submission: 2012, Sep 21, 2012, extended version: 2013, Feb 28

In the present paper we generalize the coproduct structure on nil Hecke rings introduced and studied by Kostant-Kumar to the context of an arbitrary algebraic oriented cohomology theory and its associated formal group law. As an application we construct an algebraic model of the T-equivariant oriented cohomology of the variety of complete flags.

2010 Mathematics Subject Classification: 20C08, 14F43

Keywords and Phrases: Hecke algebra, Demazure operator, oriented cohomology, projective homogeneous space

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