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 journalArticle

11 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 languageEnglish
Pages (from-to)2265-2284
Number of pages20
JournalTransactions of the American Mathematical Society
Volume360
Issue number5
DOIs
Publication statusPublished - 2008 May 1
Externally publishedYes

Keywords

  • BP-theory, PU(p)
  • Exceptional lie groups

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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