A coproduct structure on the formal affine Demazure algebra

Baptiste Calmès (1) , Kirill Zainoulline (2) , Changlong Zhong (2)

1 LML - Laboratoire de Mathématiques de Lens
2 Department of Mathematics and Statistics [Ottawa]

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. We then construct an algebraic model of the T-equivariant oriented cohomology of the variety of complete flags.

Domains: Rings and Algebras [math.RA]; Algebraic Geometry [math.AG]

Baptiste Calmès, Kirill Zainoulline, Changlong Zhong. A coproduct structure on the formal affine Demazure algebra. 2013. ⟨hal-00795119⟩