Left-symmetric algebra structures on the W-algebra W(2, 2)
β Scribed by Hongjia Chen; Junbo Li
- Book ID
- 113772394
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 305 KB
- Volume
- 437
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
The classification of five-dimensional complete left-symmetric algebras is known to be a hard problem. In this paper we establish an explicit classification of the five-dimensional complete left-symmetric algebras over R, having an abetian associated Lie algebra. A detailed list of all possible isom
## Abstract We classify the compatible leftβsymmetric algebraic structures on the Witt algebra satisfying certain nonβgraded conditions. It is unexpected that they are Novikov algebras. Furthermore, as applications, we study the induced nonβgraded modules of the Witt algebra and the induced Lie alg