| Title:
|
Racks and orbits of dressing transformations (English) |
| Author:
|
Balinsky, A. A. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
41 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
437-444 |
| . |
| Category:
|
math |
| . |
| Summary:
|
A new algebraic structure on the orbits of dressing transformations of the quasitriangular Poisson Lie groups is provided. This gives the topological interpretation of the link invariants associated with the Weinstein-Xu classical solutions of the quantum Yang-Baxter equation. Some applications to the three-dimensional topological quantum field theories are discussed. (English) |
| Keyword:
|
automorphic set |
| Keyword:
|
Poisson Lie group |
| Keyword:
|
link invariants |
| MSC:
|
17B63 |
| MSC:
|
57M25 |
| MSC:
|
57M27 |
| MSC:
|
57R56 |
| MSC:
|
81R50 |
| idZBL:
|
Zbl 1037.57500 |
| idMR:
|
MR1795074 |
| . |
| Date available:
|
2009-01-08T19:03:23Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119178 |
| . |
| 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:
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| Reference:
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| . |
