Abstract:Let G be a simple algebraic group over an algebraically closed field K and let N = N G (T ) be the normalizer of a fixed maximal torus T ≤ G. Further, let U be the unipotent radical of a fixed Borel subgroup B that contains T and let U − be the unipotent radical of the opposite Borel subgroup B − . The Bruhat decomposition implies the decomposition G = N U − U N . The Zariski closed subset U − U ⊂ G is isomorphic to the affine space A m K where m = dim G − dim T is the number of roots in the corresponding root… Show more
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