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The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups $ PU(p)$ and exceptional Lie groups

Author(s): Masaki Kameko; Nobuaki Yagita
Journal: Trans. Amer. Math. Soc. 360 (2008), 2265-2284.
MSC (2000): Primary 55P35, 57T25; Secondary 55R35, 57T05
Posted: December 20, 2007
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Abstract: For a fixed prime $ p$, we compute the Brown-Peterson cohomologies of classifying spaces of $ PU(p)$ and exceptional Lie groups by using the Adams spectral sequence. In particular, we see that $ BP^*(BPU(p))$ and $ K(n)^*(BPU(p))$ are even dimensionally generated.

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Additional Information:

Masaki Kameko
Affiliation: Faculty of Regional Science, Toyama University of International Studies, Toyama, Japan
Email: kameko@tuins.ac.jp

Nobuaki Yagita
Affiliation: Faculty of Education, Ibaraki University, Mito, Ibaraki, Japan
Email: yagita@mx.ibaraki.ac.jp

DOI: 10.1090/S0002-9947-07-04425-X
PII: S 0002-9947(07)04425-X
Keywords: $BP$-theory, $PU(p)$, exceptional Lie groups
Received by editor(s): November 2, 2005
Posted: December 20, 2007
Copyright of article: Copyright 2007, American Mathematical Society

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