Computing faithful representations for nilpotent Lie algebras

Mathematics – Representation Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

14 pages

Scientific paper

We describe three methods to determine a faithful representation of small dimension for a finite-dimensional nilpotent Lie algebra over an arbitrary field. We apply our methods in finding bounds for the smallest dimension $\mu(\Lg)$ of a faithful $\Lg$-module for some nilpotent Lie algebras $\Lg$. In particular, we describe an infinite family of filiform nilpotent Lie algebras $\Lf_n$ of dimension $n$ over $\Q$ and conjecture that $\mu(\Lf_n) > n+1$. Experiments with our algorithms suggest that $\mu(\Lf_n)$ is polynomial in $n$.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Computing faithful representations for nilpotent 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 Computing faithful representations for nilpotent Lie algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Computing faithful representations for nilpotent Lie algebras will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-596070

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.