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 -kernels of Lie groups
Author(s):
Ken-ichi
Maruyama
Journal:
Trans. Amer. Math. Soc.
358
(2006),
2335-2351.
MSC (2000):
Primary 55Q05;
Secondary 55P10, 57T20
Posted:
January 27, 2006
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Abstract:
We study a filtration on the group of homotopy classes of self maps of a compact Lie group associated with homotopy groups. We determine these filtrations of  and  completely. We introduce two natural invariants  and  defined by the filtration, where  is a prime number, and compute the invariants for simple Lie groups in the cases where Lie groups are  -regular or quasi  -regular. We apply our results to the groups of self homotopy equivalences.
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Additional Information:
Ken-ichi
Maruyama
Affiliation:
Department of Mathematics, Faculty of Education, Chiba University, Yayoicho, Chiba, Japan
Email:
maruyama@faculty.chiba-u.jp
DOI:
10.1090/S0002-9947-06-04199-7
PII:
S 0002-9947(06)04199-7
Keywords:
Self homotopy sets,
Lie groups,
stability,
length
Received by editor(s):
July 16, 2003
Posted:
January 27, 2006
Additional Notes:
This research was partially supported by Grant-in-Aid for Scientific Research (14540063), The Ministry of Education, Culture, Sports, Science and Technology, Japan
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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