Mathematics – Representation Theory
Scientific paper
2007-03-22
Mathematics
Representation Theory
Scientific paper
We prove an explicit formula for the invariant $\mu(\Lg)$ for
finite-dimensional semisimple, and reductive Lie algebras $\Lg$ over $\C$. Here
$\mu(\Lg)$ is the minimal dimension of a faithful linear representation of
$\Lg$. The result can be used to study Dynkin's classification of maximal
reductive subalgebras of semisimple Lie algebras.
Burde Dietrich
Moens Wolfgang
No associations
LandOfFree
Minimal faithful representations of reductive Lie algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Minimal faithful representations of reductive Lie algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Minimal faithful representations of reductive Lie algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-168480