| Title:
|
$GL_n$-Invariant tensors and graphs (English) |
| Author:
|
Markl, Martin |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
44 |
| Issue:
|
5 |
| Year:
|
2008 |
| Pages:
|
449-463 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We describe a correspondence between $\mbox {GL}_n$-invariant tensors and graphs. We then show how this correspondence accommodates various types of symmetries and orientations. (English) |
| Keyword:
|
invariant tensor |
| Keyword:
|
general linear group |
| Keyword:
|
graph |
| MSC:
|
13A50 |
| MSC:
|
15A72 |
| MSC:
|
20G05 |
| idZBL:
|
Zbl 1212.15051 |
| idMR:
|
MR2501578 |
| . |
| Date available:
|
2009-01-29T09:16:15Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127128 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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[3] Kolář, I, Michor, P. W., Slovák, J.: Natural Operations in Differential Geometry.Springer-Verlag, Berlin, 1993. MR 1202431 |
| Reference:
|
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| Reference:
|
[5] Markl, M.: Natural differential operators and graph complexes.Preprint math.DG/0612183, December 2006. To appear in Differential Geometry and its Applications. Zbl 1165.51005, MR 2503978 |
| Reference:
|
[6] Markl, M., Merkulov, S. A., Shadrin, S.: Wheeled PROPs, graph complexes and the master equation.Preprint math.AG/0610683, October 2006. To appear in Journal of Pure and Applied Algebra. MR 2483835 |
| Reference:
|
[7] Weyl, H.: The classical groups. Their invariants and representations. Fifteenth printing.Princeton University Press, 1997. MR 1488158 |
| . |
