Stable indecomposability of loop spaces on symplectic groups
Author:
Kouyemon Iriye
Journal:
Proc. Amer. Math. Soc. 136 (2008), 727-733
MSC (2000):
Primary 55P35
DOI:
https://doi.org/10.1090/S0002-9939-07-09144-7
Published electronically:
October 25, 2007
MathSciNet review:
2358515
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Abstract | References | Similar Articles | Additional Information
Abstract: We prove that $\Omega Sp(n)$ is stably indecomposable if $n\geq 2$ or $n=\infty$.
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- M. J. Hopkins, Stable decompositions of certain loop spaces, Ph.D. thesis, Evanston, 1984.
- J. R. Hubbuck, Some stably indecomposable loop spaces, Homotopy theory and related topics (Kinosaki, 1988) Lecture Notes in Math., vol. 1418, Springer, Berlin, 1990, pp. 70–77. MR 1048176, DOI https://doi.org/10.1007/BFb0083693
- Kouyemon Iriye, Stable suspension order of universal phantom maps and some stably indecomposable loop spaces, J. Math. Soc. Japan 59 (2007), no. 1, 97–112. MR 2302664
- Akira Kono and Kazumoto Kozima, The space of loops in a symplectic group, Japan. J. Math. (N.S.) 4 (1978), no. 2, 461–486. MR 528867, DOI https://doi.org/10.4099/math1924.4.461
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Additional Information
Kouyemon Iriye
Affiliation:
Department of Mathematics and Information Sciences, Osaka Prefecture University, Sakai, Osaka, 599-8531 Japan
Email:
kiriye@mi.s.osakafu-u.ac.jp
Keywords:
Stable indecomposability,
loop space,
symplectic groups.
Received by editor(s):
March 8, 2006
Received by editor(s) in revised form:
June 12, 2006
Published electronically:
October 25, 2007
Additional Notes:
The author is partially suported by Grant-in-Aid for Scientific Research.
Dedicated:
Dedicated to the memory of Professor Masahiro Sugawara
Communicated by:
Paul Goerss
Article copyright:
© Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
