On the Stiefel-Whitney classes of the representations associated with Spin(15)

Mathematics – Algebraic Topology

Scientific paper

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This is the version published by Geometry & Topology Monographs on 14 November 2007

Scientific paper

10.2140/gtm.2007.11.141

We determine the Stiefel-Whitney classes of the second exterior
representation and the spin representation of Spin(15), which are useful to
calculate the mod 2 cohomology of the classifying space of the exceptional Lie
group E_8.

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