en.wikipedia.org/wiki/Special_linear_Lie_algebra

In mathematics, the special linear Lie algebra of order n is the Lie algebra of n ×
n {\displaystyle n\times n} n\times n matrices with trace zero and with the Lie ...

www.math.uchicago.edu/~may/VIGRE/VIGRE2011/REUPapers/He.pdf

The Lie algebra of SLn(R), GLn(R) and in general. 1. 3. The Lie bracket ...
Definition 2.3. The special linear group, SLn(R), is the group of all square
matrices that.

www.math.cornell.edu/~hatcher/Other/Samelson-LieAlg.pdf

algebras consists of (1) the special- linear ones, i.e. all matrices (of any .....
Example 3: The special linear Lie algebra sl(n, R) consists of all n × n real
matrices ...

math.stackexchange.com/questions/1126114/how-to-find-this-lie-algebra-proof-that-mathfraksl-is-trace-zero-matrice

Jan 30, 2015 ... I saw this table here on Wikipedia and it states that the Lie algebra of the special
linear group S L n ( C ) is the group of traceless matrices sl s l ...

www.math.umn.edu/~olver/sm_/l.pdf

Oct 23, 2012 ... Lie algebras, and their actions on manifolds. ... groups”. The special linear or
unimodular group is SL(n) = { A ∈ GL(n) | det A = 1 } consisting of ...

relaunch.hcm.uni-bonn.de/fileadmin/perrin/chap10.pdf

Definition 10.1.1 The Lie algebra sl(k2) will be denoted by sl2 and identified with
... Corollary 10.1.3 The Lie algebra sl2 is simple and in particular semisimple. .... (
ıı) For any integer n ≥ 0, the linear maps Y n : V n → V −n and Xn : V −n → V n ...

ncatlab.org/nlab/show/simple Lie algebra

Sep 7, 2010 ... �� n = ���� n + 1 \mathfrak{a}_n = \mathfrak{sl}_{n+1} , the special linear Lie
algebra? of rank n n . We count this only for n ≥ 1 n \geq 1 , since �� ...

www.math.ucsd.edu/~nwallach/chapter1.pdf

develop the basic ideas of Lie groups, Lie algebras, and linear algebraic .... The
special linear group SL(n, F) is the set of all elements, A, of Mn(F) such that.

www.math.upenn.edu/~panova/minorthesis.pdf

Jun 20, 2008 ... 5 The special linear Lie algebra sl(n, C) and the general linear group GLn(C) ...
representations of semisimple Lie algebras, develop the theory ...

www.cis.upenn.edu/~cis610/geombchap14.pdf

the Lie algebra can be viewed as the tangent space to the Lie group at the
identity. ..... and its subgroup SL(n, R) is called the special linear group. The
group ...