Structure of Algebras of Weyl Type
| dc.creator | Su, Yucai | |
| dc.creator | Zhao, Kaiming | |
| dc.date | 2004-02-26 | |
| dc.date.accessioned | 2026-07-07T05:05:44Z | |
| dc.date.available | 2026-07-07T05:05:44Z | |
| dc.description | 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. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0402423 | |
| dc.identifier | http://arxiv.org/abs/math/0402423 | |
| dc.identifier | Comm. Algebra, 32 (2004), 1051-1059 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70280 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B20; 17B65; 17B67; 17B68 | |
| dc.title | Structure of Algebras of Weyl Type | |
| dc.type | text |