Structure of Algebras of Weyl Type
Abstract
In a paper by the authors, the associative and the Lie algebras of Weyl type $A[D]=A\otimes F[D]$ were introduced, where $A$ is a commutative associative algebra with an identity element over a field $F$ of any characteristic, and $F[D]$ is the polynomial algebra of a commutative derivation subalgebra $D$ of $A$. In the present paper, a class of the above associative and Lie algebras $A[D]$ with $F$ being a field of characteristic 0 and $D$ consisting of locally finite derivations of $A$, is studied. The isomorphism classes of these associative and Lie algebras are determined. The structure of these algebras is described explicitly.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 February 2004
 arXiv:
 arXiv:math/0402423
 Bibcode:
 2004math......2423S
 Keywords:

 Quantum Algebra;
 17B20;
 17B65;
 17B67;
 17B68
 EPrint:
 10 pages