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replaced by any braided monoidal k-linear category. The notion of a Lie algebra can be defined (and is studied) in this generality, and I guess that...

representation and Algebra representation. Would it perhaps be more appropriate to move Representation of a Lie algebra to Lie algebra representation? -GTBacchus(talk)...

(nbarth) (talk) 01:33, 1 December 2009 (UTC) What is that for a semisimple Lie algebra in general? As I understand, it is defined via (adjoint) representation;...

I guess we need to move this page to Quadratic Lie algebra (without plural). How can this be done? MelchiorG (talk) 08:21, 7 February 2010 (UTC) Done...

the irrational winding of a torus. There is a homomorphism between the Lie algebra, viewed as an additive group, and a subgroup of the torus. YohanN7 (talk)...

The comment(s) below were originally left at Talk:Radical of a Lie algebra/Comments, and are posted here for posterity. Following several discussions...

Why is it called a Lie algebra? What are Lie algebras used for? How do they relate to more usual objects, such as groups? Sophus Lie developed the theory...

Outline a few applications of graded Lie algebras in the Other uses sense. Maybe motivate graded Lie algebras (in the "usual" sense -- that of the article)...

totally contained in the Lie algebra page. The reference to Borel subalgebra isn't there. The links to the basic result, the Lie-Kolchin theorem, isn't...

that it's assumed if you're on the Nilpotent Lie Algebra page, you have some experience with Lie algebras - and g l k {\displaystyle {\mathfrak {gl}}_{k}}...

examples of lie algebra cohomology are needed. In addition, theorems related to the de-Rham cohomology of Lie groups and their lie algebras needs to be...

all of that tangled relationship. Ten years ago, I ditched my book on Lie algebras, now I am sorry I did... linas 20:53, 7 Feb 2005 (UTC) Another generic...

simple Lie algebras as the notion (and the classification) make sense over an arbitrary field. I have therefore moved the content to Draft:Simple Lie algebra...

(UTC). In abstract algebra and mathematical physics, a Kac-Moody algebra is an infinite-dimensional generalization of a Lie algebra. There are infinitely...

that Phys gave of affine Lie algebra, which today only exists in the page's history, is not unrelated. The affine Kac-Moody algebra described on the page...

(MSGJ · talk) 22:11, 1 November 2019 (UTC) Glossary of Lie algebras → Glossary of Lie groups and Lie algebras – In general, it is better to have a fewer glossaries...

the algebra U and not matrix powers." I do not understand what kind of "powers" this refers to, since the only powers that I know of in a Lie algebra are...

This section begins as following. If M is a matrix Lie group, then elements G of its Lie algebra m can be given by G = d d t ( g ( t ) ) | t = 0 , {\displaystyle...

all possible compact simple Lie algebras? (i.e. the classical groups SU(N), SO(N), and Sp(N), and the exceptional algebras G2, F4, E6, E7, and E8.) --...