Talk:Lie algebra representation

Requested move[edit]

The following discussion is an archived discussion of a requested move. Please do not modify it. Subsequent comments should be made in a new section on the talk page. No further edits should be made to this section.

The result of the move request was: Not moved. Suggest RM for Representation of a Lie group. Ucucha 10:16, 12 January 2010 (UTC)[reply]

Lie algebra representation → Representation of a Lie algebra — —Preceding unsigned comment added by Niout (talk • contribs) 14:10, 3 January 2010 (UTC)[reply]

There's already an article about the Representation of a Lie group, since Lie groups and Lie algebras are correlated concepts, I would maintain the similarity in the article names. The two pages would look like Representation of a Lie group <--> Representation of a Lie algebra Niout (talk) 13:47, 5 January 2010 (UTC)[reply]

We've also got articles called Group representation and Algebra representation. Would it perhaps be more appropriate to move Representation of a Lie algebra to Lie algebra representation? -GTBacchus^(talk) 00:20, 11 January 2010 (UTC)[reply]

Oppose I'm inclined to agree with GTBacchus and instead suggest Representation of a Lie group be moved to Lie group representation, but that's a separate matter. —Preceding unsigned comment added by Cybercobra (talk • contribs)

The above discussion is preserved as an archive of a requested move. Please do not modify it. Subsequent comments should be made in a new section on this talk page. No further edits should be made to this section.

Notation[edit]

I think we sould use the same notation in both this article and in Representation of a Lie group. E.g. the group of automorphisms of a vector space V is called GL(V) here, Aut(V) there, which is probably confusing. I prefer the first one, but it's obviously a matter of personal taste. Eflags (talk) 17:08, 27 October 2010 (UTC)[reply]

Bracket analogue for endomorphisms?[edit]

Since the commutator of the matrix representation matches the behavior of the Lie bracket, is there an analogous relationship between the endomorphisms of a vector space? ᛭ LokiClock (talk) 07:53, 31 December 2011 (UTC)[reply]

Sorry, I don't think I understand your question. An endomorphism and a matrix are the same except whether one is using a basis or not. -- Taku (talk) 19:14, 26 April 2013 (UTC)[reply]

The article on structure constants now describes how to explicitly construct a vector-space basis. 67.198.37.16 (talk) 19:25, 31 October 2020 (UTC)[reply]