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A method to obtain the lie group associated with a nilpotent lie algebra

✍ Scribed by J.C. Benjumea; F.J. Echarte; J. Núñez; A.F. Tenorio

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
628 KB
Volume
51
Category
Article
ISSN
0898-1221

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✦ Synopsis

According to Ado and Cm'tan Theorems, every Lie algebra of finite dimension can be represented as a Lie subalgebra of the Lie algebra associated with the general linear group of matrices. We show in this paper a method to obtain the simply connected Lie group associated with a nilpotent Lie algebra, by using unipotent matrices. Two cases are distinguished, according to the nilpotent Lie algebra is or not filiform. (~) 2006 Elsevier Ltd. All rights reserved.

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