A coproduct structure on the formal affine Demazure algebra

Abstract

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.

28 pages; minor revision of the previous version

References in corpus (5)

• Algebraic cobordism
• Formal Hecke algebras and algebraic oriented cohomology theories
• Generalized Schubert Calculus
• On the formal affine Hecke algebra
• Push-pull operators on the formal affine Demazure algebra and its dual

Cited by in corpus (7)

• Formal Hecke algebras and algebraic oriented cohomology theories
• A Schubert basis in equivariant elliptic cohomology
• Push-pull operators on the formal affine Demazure algebra and its dual
• The Leray-Hirsch Theorem for equivariant oriented cohomology of flag varieties
• Formal Group Rings of Toric Varieties
• Geometric properties of the Kazhdan-Lusztig Schubert basis
• On formal Schubert polynomials