Notes on Schubert classes of a loop group

Understand

In these notes, we survey the homology of the loop group Omega(K) of a compact group K, also known as the affine Grassmannian of a complex loop group.

• Using the Bott picture of H_*(Omega(K)), the homology algebra or Pontryagin ring, we obtain two new results: A.
• Factorization of affine Schubert homology classes.
• B.