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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Stable splittings of $\BO (2n)$ and $\BU (2n)$

Author(s): Dung Yung Yan
Journal: Proc. Amer. Math. Soc. 124 (1996), 1913-1915.
MSC (1991): Primary 55P10
MathSciNet review: 1307573
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Abstract | References | Similar articles | Additional information

Abstract: Using the Snaith-Mitchell-Priddy splittings of $\BO (2n)$ and $\BU (2n)$, we can give new stable splittings of $\BO (2n)$ and
$\BU (2n)$ respectively.


References:

1.
J. Becker and D. Gottlieb, Transfer maps for fibrations and duality, Compositio Math. 33 (1976), 107--133.MR 55:9087
2.
H. W. Henn and H. Mui, Stable splittings for classifying spaces of alternating, special orthogonal and special unitary groups, Contemp. Math., Amer. Math. Soc., Providence, RI, vol. 146, 1993, pp. 143--158. MR 94g:55021
3.
S. Mitchell and S. Priddy, Symmetric product spectra and splittings of classifying spaces, Amer. J. Math. 106(1984), 219--232. MR 86g:55009
4.
S. Mitchell and S. Priddy, Stable splittings derived from the Steinberg module, Topology 22 (1983), 285--298. MR 85f:55005
5.
S. Mitchell and S. Priddy, A double coset formula for Levi subgroups and splitting $\textit {BGL}_n$, Lecture Notes in Math., vol. 1730, Springer-Verlag, Berlin and New York, 1989, pp. 325--334. MR 90f:55015
6.
V. Snaith, Algebraic cobordism and K-theory, Mem. Amer. Math. Soc. 21 (1979), no. 221. MR 80k:57060


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Additional Information:

Dung Yung Yan
Affiliation: Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan 30043

DOI: 10.1090/S0002-9939-96-03205-4
PII: S 0002-9939(96)03205-4
Received by editor(s): May 26, 1994
Received by editor(s) in revised form: October 20, 1994
Additional Notes: This work was partially supported by the National Science Council of R.O.C
Communicated by: Thomas Goodwillie
Copyright of article: Copyright 1996, American Mathematical Society




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