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On the Stiefel–Whitney classes of the representations
associated with Spin(15)
Mamoru Mimura and Tetsu Nishimoto
Geometry & Topology Monographs 11
(2007) 141–176
Abstract
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 E8 .
Keywords
Stiefel–Whitney class, classifying
space, spinor group, exceptional Lie group,
representation
Mathematical Subject Classification
Primary: 55R40
Secondary: 22E46
Publication
Received: 25 February 2005
