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Isomorphism classes and automorphism groups of algebras of Weyl type by Su, Yucai; Zhao, Kaiming is a scholarly article available to read on EtoBox.

What is Isomorphism classes and automorphism groups of algebras of Weyl type about?

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.

Author
Su, Yucai; Zhao, Kaiming
Published
2000
Language
EN

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