### Abstract

Original language | Undefined |
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Place of Publication | Enschede |

Publisher | Department of Applied Mathematics, University of Twente |

State | Published - 1999 |

### Publication series

Name | |
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Publisher | Department of Applied Mathematics, University of Twente |

No. | 1503 |

ISSN (Print) | 0169-2690 |

### Fingerprint

### Keywords

- MSC-17B66
- EWI-3323
- IR-65691
- MSC-17B70
- MSC-17B05

### Cite this

*On the structure of transitively differential algebras*. Enschede: Department of Applied Mathematics, University of Twente.

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*On the structure of transitively differential algebras*. Department of Applied Mathematics, University of Twente, Enschede.

**On the structure of transitively differential algebras.** / Post, Gerhard F.

Research output: Other research output › Report

TY - BOOK

T1 - On the structure of transitively differential algebras

AU - Post,Gerhard F.

N1 - Imported from MEMORANDA

PY - 1999

Y1 - 1999

N2 - We study finite-dimensional Lie algebras of polynomial vector fields in $n$ variables that contain the vector fields ${\partial}/{\partial x_i} \; (i=1,\ldots, n)$ and $x_1{\partial}/{\partial x_1}+ \dots + x_n{\partial}/{\partial x_n}$. We derive some general results on the structure of such Lie algebras, and provide the complete classification in the cases $n=2$ and $n=3$. Finally we describe a certain construction in high dimensions.

AB - We study finite-dimensional Lie algebras of polynomial vector fields in $n$ variables that contain the vector fields ${\partial}/{\partial x_i} \; (i=1,\ldots, n)$ and $x_1{\partial}/{\partial x_1}+ \dots + x_n{\partial}/{\partial x_n}$. We derive some general results on the structure of such Lie algebras, and provide the complete classification in the cases $n=2$ and $n=3$. Finally we describe a certain construction in high dimensions.

KW - MSC-17B66

KW - EWI-3323

KW - IR-65691

KW - MSC-17B70

KW - MSC-17B05

M3 - Report

BT - On the structure of transitively differential algebras

PB - Department of Applied Mathematics, University of Twente

ER -