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.
|Number of pages||20|
|Journal||Transactions of the American Mathematical Society|
|Publication status||Published - 2008 May|
- BP-theory, PU(p)
- Exceptional lie groups
ASJC Scopus subject areas
- Applied Mathematics