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

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

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