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# Isomorphisms between generalized Cartan type $W$ Lie algebras in characteristic $0$

Published:1998-02-01
Printed: Feb 1998
• Kaiming Zhao
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## Abstract

In this paper, we determine when two simple generalized Cartan type $W$ Lie algebras $W_d (A, T, \varphi)$ are isomorphic, and discuss the relationship between the Jacobian conjecture and the generalized Cartan type $W$ Lie algebras.
 Keywords: Simple Lie algebras, the general Lie algebra, generalized Cartan type $W$ Lie algebras, isomorphism, Jacobian conjecture
 MSC Classifications: 17B40 - Automorphisms, derivations, other operators 17B65 - Infinite-dimensional Lie (super)algebras [See also 22E65] 17B56 - Cohomology of Lie (super)algebras 17B68 - Virasoro and related algebras

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