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Stable indecomposability of loop spaces on symplectic groups
Author(s):
Kouyemon
Iriye
Journal:
Proc. Amer. Math. Soc.
136
(2008),
727-733.
MSC (2000):
Primary 55P35
Posted:
October 25, 2007
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Abstract:
We prove that  is stably indecomposable if  or  .
References:
-
- 1.
- M. C. Crabb, On stable splitting of
 and  , Springer Lecture Notes in Math. 1298 (1986), 35-53. MR 928822 (89d:55019) - 2.
- M. J. Hopkins, Stable decompositions of certain loop spaces, Ph.D. thesis, Evanston, 1984.
- 3.
- J. R. Hubbuck, Some stably indecomposable loop spaces, Springer Lecture Notes in Math. 1418 (1990), 70-77. MR 1048176 (91g:55013)
- 4.
- K. Iriye, Stable suspension order of universal phantom maps and some stably indecomposable loop spaces, preprint, 2005. MR 2302664
- 5.
- A. Kono and K. Kozima, The space of loops on a symplectic group, Japan. J. Math. 4 (1978), 461-486. MR 528867 (80k:55026)
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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
DOI:
10.1090/S0002-9939-07-09144-7
PII:
S 0002-9939(07)09144-7
Keywords:
Stable indecomposability,
loop space,
symplectic groups.
Received by editor(s):
March 8, 2006
Received by editor(s) in revised form:
June 12, 2006
Posted:
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
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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