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Transactions of the American Mathematical Society

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

 

 

Homology of the classical groups over the Dyer-Lashof algebra


Author: Stanley O. Kochman
Journal: Trans. Amer. Math. Soc. 185 (1973), 83-136
MSC: Primary 55F45; Secondary 55G99
DOI: https://doi.org/10.1090/S0002-9947-1973-0331386-2
MathSciNet review: 0331386
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Abstract: The action of the Dyer-Lashof algebra is computed on the homology of the infinite classical groups (including Spin), their classifying spaces, their homogeneous spaces, Im J, B Im J and BBSO. Some applications are given while applications by other authors appear elsewhere.


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DOI: https://doi.org/10.1090/S0002-9947-1973-0331386-2
Keywords: Classical group, classifying space, homogeneous space, image of J, $ {E_\infty }$-operad, Bott periodicity, suspension map and Nishida relations
Article copyright: © Copyright 1973 American Mathematical Society