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Isomorphisms Between Generalized Cartan Type W Lie Algebras in Characteristic 0

Published online by Cambridge University Press:  20 November 2018

Kaiming Zhao
Kaiming Zhao*
Affiliation:
Department of Mathematics University of Wisconsin-Madison Madison, Wisconsin 53706 U.S.A. e-mail address: zhao@math.wisc.edu Institute of Systems Science AcademiaSinica Beijing 100080 China e-mail address: zhao@iss06.iss.ac.cn
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Abstract

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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

17B4017B6517B5617B68Simple Lie algebrasthe general Lie algebrageneralized Cartan type W Lie algebrasisomorphismJacobian conjecture
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 50 , Issue 1 , 01 February 1998 , pp. 210 - 224
Copyright
Copyright © Canadian Mathematical Society 1998

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