Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 55N20, 55N22

Retrieve articles in all journals with MSC: 55N20, 55N22


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1993-1139493-4
PII: S 0002-9947(1993)1139493-4
Keywords: Classifying space $ BG$, compact Lie groups, $ BP$-theory, cohomology operations
Article copyright: © Copyright 1993 American Mathematical Society