Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Nilpotent Lie Algebras

  1. Oct 8, 2007 #1
    I know that all Lie algebras comprised of strictly upper triangular matrices are nilpotent. It would seem that there are also nilpotent Lie algebras that are not comprised of strictly upper triangular matrices, but I can't think of any. Does anybody have any examples?
  2. jcsd
  3. Oct 9, 2007 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    You can apply a change of basis to a Lie algebra, can't you?
  4. Oct 9, 2007 #3

    matt grime

    User Avatar
    Science Advisor
    Homework Helper

    And there are always abelian lie algebras.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Nilpotent Lie Algebras
  1. Lie algebra concept (Replies: 1)