Register to reply

Lie algebra

by math6
Tags: algebra
Share this thread:
math6
#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.
Phys.Org News Partner Science news on Phys.org
Apple to unveil 'iWatch' on September 9
NASA deep-space rocket, SLS, to launch in 2018
Study examines 13,000-year-old nanodiamonds from multiple locations across three continents
HallsofIvy
#2
Aug7-11, 05:19 PM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,542
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.


Register to reply

Related Discussions
Do I need a lot of abstract algebra knowledge to start learning Lie algebra Academic Guidance 9
Algebra of Physical Space vs. Spacetime Algebra Linear & Abstract Algebra 5
Galilean Algebra in the low velocity limit of Poincare Algebra (Weinberg vol 1) Quantum Physics 5
The diference between algebra, sigma algebra and topology Set Theory, Logic, Probability, Statistics 4
Clifford algebra isomorphic to tensor algebra or exterior algebra? Linear & Abstract Algebra 2