| Title:
|
On two results of Singhof (English) |
| Author:
|
Mare, Augustin-Liviu |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
38 |
| Issue:
|
2 |
| Year:
|
1997 |
| Pages:
|
379-383 |
| . |
| Category:
|
math |
| . |
| Summary:
|
For a compact connected semisimple Lie group $G$ we shall prove two results (both related with Singhof's paper [13]) on the Lusternik-Schnirelmann category of the adjoint orbits of $G$, respectively the 1-dimensional relative category of a maximal torus $T$ in $G$. The techniques will be classical, but we shall also apply some basic results concerning the so-called $\mathcal A$-category (cf. [14]). (English) |
| Keyword:
|
Lusternik-Schnirelmann category |
| Keyword:
|
Lie groups |
| Keyword:
|
adjoint orbits |
| MSC:
|
55M30 |
| MSC:
|
55P50 |
| MSC:
|
57T15 |
| MSC:
|
57T20 |
| idZBL:
|
Zbl 0886.55009 |
| idMR:
|
MR1455506 |
| . |
| Date available:
|
2009-01-08T18:31:46Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118937 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
[12] Ramanujam S.: Applications of Morse theory to some homogeneous spaces.Tohoku Math. J. 21 (1969), 343-354. |
| Reference:
|
[13] Singhof W.: On the Lusternik-Schnirelmann category of Lie groups.Math. Z. 145 (1975), 111-116. Zbl 0315.55012, MR 0391075 |
| . |
