KO-Rings of Full Flag Varieties

Abstract

We present type-independent computations of the KO-groups of full flag varieties, i.e. of quotient spaces G/T of compact Lie groups by their maximal tori. Our main tool is the identification of the Witt ring, a quotient of the KO-ring, of these varieties with the Tate cohomology of their complex K-ring. The computations show that the Witt ring is an exterior algebra whose generators are determined by representations of G.

22 pages; updated references and other minor changes

References in corpus (2)

• Witt groups of Grassmann varieties
• The KO*-rings of BT^m, the Davis-Januszkiewicz Spaces and certain toric manifolds

Cited by in corpus (2)

• KO-theory of complex flag varieties of ordinary type
• On the KO-groups of toric manifolds