Journal of Lie Theory

no. 1
On the Structure of Transitively Differential Algebras
Journal of Lie Theory, Volume 11 (2001) no. 1, pp. 111-128
We study finite-dimensional Lie algebras of polynomial vector fields in n variables that contain all partial derivatives and the Euler operator. 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.
DOI: 10.5802/jolt.224
Classification: 17B66 
@article{JOLT_2001_11_1_a5,
     author = {G. Post},
     title = {On the {Structure} of {Transitively} {Differential} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {111--128},
     year = {2001},
     volume = {11},
     number = {1},
     doi = {10.5802/jolt.224},
     zbl = {1036.17020},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.224/}
}
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G. Post. On the Structure of Transitively Differential Algebras. Journal of Lie Theory, Volume 11 (2001) no. 1, pp. 111-128. doi: 10.5802/jolt.224

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