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

Masaki Kameko; Nobuaki Yagita

doi:10.1090/S0002-9947-07-04425-X

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

Masaki Kameko, Nobuaki Yagita

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2265-2284
Number of pages	20
Journal	Transactions of the American Mathematical Society
Volume	360
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9947-07-04425-X
Publication status	Published - 2008 May
Externally published	Yes

Keywords

BP-theory, PU(p)
Exceptional lie groups

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9947-07-04425-X

Cite this

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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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AB - 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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KW - Exceptional lie groups

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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