%0 Journal Article %T On the Stiefel-Whitney classes of the representations associated with Spin(15) %A Mamoru Mimura %A Tetsu Nishimoto %J Mathematics %D 2009 %I arXiv %R 10.2140/gtm.2007.11.141 %X 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. %U http://arxiv.org/abs/0903.4969v1