Isomorphism classes and automorphism groups of algebras of Weyl type

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dc.creatorSu, Yucai
dc.creatorZhao, Kaiming
dc.date2000-12-03
dc.date.accessioned2026-07-07T04:38:59Z
dc.date.available2026-07-07T04:38:59Z
dc.descriptionIn one of our recent papers, the associative and the Lie algebras of Weyl type $A[D]=A\otimes F[D]$ were defined and studied, 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, $D$ consisting of locally finite but not locally nilpotent derivations of $A$, are studied. The isomorphism classes and automorphism groups of these associative and Lie algebras are determined.
dc.description15 pages, Latex, to appear in Science in China A
dc.identifierhttps://arxiv.org/abs/math/0012012
dc.identifierhttp://arxiv.org/abs/math/0012012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60494
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.titleIsomorphism classes and automorphism groups of algebras of Weyl type
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