| Title:
|
Associative and Lie deformations of Poisson algebras (English) |
| Author:
|
Remm, Elisabeth |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
20 |
| Issue:
|
2 |
| Year:
|
2012 |
| Pages:
|
117-136 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Considering a Poisson algebra as a nonassociative algebra satisfying the Markl-Remm identity, we study deformations of Poisson algebras as deformations of this nonassociative algebra. We give a natural interpretation of deformations which preserve the underlying associative structure and of deformations which preserve the underlying Lie algebra and we compare the associated cohomologies with the Poisson cohomology parametrizing the general deformations of Poisson algebras. (English) |
| Keyword:
|
Poisson algebras |
| Keyword:
|
deformations |
| Keyword:
|
operads |
| Keyword:
|
cohomology |
| MSC:
|
17B63 |
| MSC:
|
17Dxx |
| MSC:
|
53Dxx |
| idZBL:
|
Zbl 06165039 |
| idMR:
|
MR3032808 |
| . |
| Date available:
|
2013-01-28T10:50:06Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143143 |
| . |
| Reference:
|
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| . |
