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arXiv · 1208.1497

KO-Rings of Full Flag Varieties

Marcus Zibrowius
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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.

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Marcus Zibrowius. 2012-08-07. KO-Rings of Full Flag Varieties. https://doi.org/10.1090/s0002-9947-2014-06318-6

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