Isomorphism classes and automorphism groups of algebras of Weyl type

Details Isomorphism classes and automorphism groups of algebras of Weyl type Isomorphism classes and automorphism groups of algebras of Weyl type

2000-12-03

arxiv.org/abs/math/0012012v1

Mathematics

Quantum Algebra

15 pages, Latex, to appear in Science in China A

Scientific paper

In 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.

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