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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



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

Authors: Akira Kono and Nobuaki Yagita
Journal: Trans. Amer. Math. Soc. 339 (1993), 781-798
MSC: Primary 55N20; Secondary 55N22
MathSciNet review: 1139493
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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$.

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Keywords: Classifying space $ BG$, compact Lie groups, $ BP$-theory, cohomology operations
Article copyright: © Copyright 1993 American Mathematical Society

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