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

研究成果: Article › 査読

17 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	2265-2284
ページ数	20
ジャーナル	Transactions of the American Mathematical Society
巻	360
号	5
DOI	https://doi.org/10.1090/S0002-9947-07-04425-X
出版ステータス	Published - 2008 5月
外部発表	はい

ASJC Scopus subject areas

数学一般
応用数学

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10.1090/S0002-9947-07-04425-X

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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

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