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期刊论文
Isomorphism classes and automorphism groups of algebras of Weyl type
SCIENCE IN CHINA, 2002, 45 (8): 953~963,-0001,():
n one of our recent papers, the associative and the Lie algebras of Weyl type A[D] = AUF[D] were de ned and studied, where A is a commutative associative algebra with an identity element over a eld 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 eld of characteristic 0, D consisting of locally nite 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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