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## Special linear Lie algebra - Wikipedia

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 ...

## LIE ALGEBRAS AND LIE BRACKETS OF LIE GROUPS–MATRIX ...

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.

## Notes on Lie Algebras - Department of Mathematics

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 ...

### Special Linear Lie Algebra -- from Wolfram MathWorld

mathworld.wolfram.com

Weisstein, Eric W. "Special Linear Lie Algebra." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/SpecialLinearLieAlgebra.html ...

### Matrix Lie groups and their Lie algebras

www4.ncsu.edu

Jul 12, 2013 ... We will compute the Lie algebras of several well known Lie groups ... (b) The special linear group SL(n): To see this is a matrix Lie group note ...