## Brown-Peterson and ordinary cohomology theories of classifying spaces for compact Lie groups

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- by Akira Kono and Nobuaki Yagita
- Trans. Amer. Math. Soc.
**339**(1993), 781-798 - DOI: https://doi.org/10.1090/S0002-9947-1993-1139493-4
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## Abstract:

The Steenrod algebra structures of ${H^\ast }(BG;Z/p)$ for compact Lie groups are studied. Using these, Brown-Peterson cohomology and Morava $K$-theory are computed for many concrete cases. All these cases have properties similar as torsion free Lie groups or finite groups, e.g., $B{P^{odd}}(BG) = 0$.## References

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*Generalized group characters and complex oriented cohomology theories*, preprint.

## Bibliographic Information

- © Copyright 1993 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**339**(1993), 781-798 - MSC: Primary 55N20; Secondary 55N22
- DOI: https://doi.org/10.1090/S0002-9947-1993-1139493-4
- MathSciNet review: 1139493