Let be a split reductive group over a subfield of corresponding to a Lie group . Let be a maximal torus of . We show the isomorphism of Balmer Witt groups. When is algebraically closed, we prove that is isomorphic to the topological -theory of the flag manifold . Then we compute it explicitly by using the fact that is a Hopf algebra.
Cite this article
Nobuaki Yagita, Witt Groups of Algebraic Groups. Publ. Res. Inst. Math. Sci. 50 (2014), no. 1, pp. 113–151DOI 10.4171/PRIMS/126