Automorphism of a Lie algebra

In abstract algebra, an automorphism of a Lie algebra g {\displaystyle {\mathfrak {g}}} is an isomorphism from g {\displaystyle {\mathfrak {g}}} to itself, that is, a bijective linear map preserving the Lie bracket. The automorphisms of g {\displaystyle {\mathfrak {g}}} form a group denoted Aut ⁡ g {\displaystyle \operatorname {Aut} {\mathfrak {g}}} , the automorphism group of g {\displaystyle {\mathfrak {g}}} .

Source: Wikipedia — Automorphism of a Lie algebra (CC BY-SA 4.0)

Automorphism of a Lie algebra

In abstract algebra, an automorphism of a Lie algebra g {\displaystyle {\mathfrak {g}}} is an isomorphism from g {\displaystyle {\mathfrak {g}}} to itself, that is, a bijective linear map preserving the Lie bracket. The automorphisms of g {\displaystyle {\mathfrak {g}}} form a group denoted Aut ⁡ g {\displaystyle \operatorname {Aut} {\mathfrak {g}}} , the automorphism group of g {\displaystyle {\mathfrak {g}}} .

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Source: Wikipedia "Automorphism of a Lie algebra" · CC BY-SA 4.0

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