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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