Stable indecomposability of loop spaces on symplectic groups
HTML articles powered by AMS MathViewer
- by Kouyemon Iriye PDF
- Proc. Amer. Math. Soc. 136 (2008), 727-733 Request permission
Abstract:
We prove that $\Omega Sp(n)$ is stably indecomposable if $n\geq 2$ or $n=\infty$.References
- M. C. Crabb, On the stable splitting of $\textrm {U}(n)$ and $\Omega \textrm {U}(n)$, Algebraic topology, Barcelona, 1986, Lecture Notes in Math., vol. 1298, Springer, Berlin, 1987, pp. 35–53. MR 928822, DOI 10.1007/BFb0082999
- 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 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 10.4099/math1924.4.461
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
- 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.
- Communicated by: Paul Goerss
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 727-733
- MSC (2000): Primary 55P35
- DOI: https://doi.org/10.1090/S0002-9939-07-09144-7
- MathSciNet review: 2358515
Dedicated: Dedicated to the memory of Professor Masahiro Sugawara