@book{b0fd8d601d6e46948e68784e63129e0b,

title = "On the structure of transitively differential algebras",

abstract = "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.",

keywords = "MSC-17B66, EWI-3323, IR-65691, MSC-17B70, MSC-17B05",

author = "Post, {Gerhard F.}",

note = "Imported from MEMORANDA",

year = "1999",

language = "Undefined",

publisher = "University of Twente, Department of Applied Mathematics",

number = "1503",

}