| Title:
|
A description of derivations of the algebra of symmetric tensors (English) |
| Author:
|
Heydari, A. |
| Author:
|
Boroojerdian, N. |
| Author:
|
Peyghan, E. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
42 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
175-184 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper the symmetric differential and symmetric Lie derivative are introduced. Using these tools derivations of the algebra of symmetric tensors are classified. We also define a Frölicher-Nijenhuis bracket for vector valued symmetric tensors. (English) |
| Keyword:
|
derivation |
| Keyword:
|
Frölicher-Nijenhius bracket |
| Keyword:
|
symmetric differential |
| Keyword:
|
symmetric Lie derivative |
| Keyword:
|
symmetric tensor |
| MSC:
|
53A55 |
| MSC:
|
53C05 |
| MSC:
|
58A10 |
| idZBL:
|
Zbl 1164.53401 |
| idMR:
|
MR2240355 |
| . |
| Date available:
|
2008-06-06T22:47:53Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107994 |
| . |
| 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:
|
[8] Michor P. W.: Graded derivations of the algebra of differential forms associated with a connection.Proccedings of the Conference on Differential Geometry and its Applications, Peniscola (1988), Springer Lecture Notes in Mathematics, Vol. 1410 (1989), 249–261. MR 1034284 |
| Reference:
|
[9] Nijenhuis A., Richardson R.: Cohomoloy and deformations in graded Lie algebras.Bull. Amer. Math. Soc. 72 (1966), 1–29. MR 0195995 |
| Reference:
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| Reference:
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| Reference:
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| . |
