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- TL;DR Summary
- Derivation on lie algebra ##sl_2##

Please, I am looking for a simple example of derivation on ##sl_2##, if possible, I try to use identity map, but not work with me,

A derivation of the Lie algebra ##\mathfrak{g}## is a linear map ##\delta: \mathfrak{g} \rightarrow \mathfrak{g}## such that ##\delta([x, y])=[\delta(x), y]+[x, \delta(y)]##, for all ##x## and ##y## in ##\mathfrak{g}##.

A derivation of the Lie algebra ##\mathfrak{g}## is a linear map ##\delta: \mathfrak{g} \rightarrow \mathfrak{g}## such that ##\delta([x, y])=[\delta(x), y]+[x, \delta(y)]##, for all ##x## and ##y## in ##\mathfrak{g}##.

**Thanks in advance,**