lie algebra


by math6
Tags: algebra
math6
math6 is offline
#1
Aug7-11, 04:59 PM
P: 67
hi friends !!
it is well known that a Lie algebra over K is a K-vector space g equipped
of a K-bilinear, called Lie bracket. I ask how can we determines the Lie algebra of any vector space then? For example we try the Lie algebra of horizontal space.
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HallsofIvy
HallsofIvy is offline
#2
Aug7-11, 05:19 PM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 38,894
You seem to have the idea that there is such a thing as "the" Lie Algebra of a vector space. That's not true. There exist an infinite number of Lie Algebras for a given vector space.


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