Commutator

Linear commutator

The linear commutator is a particular example of a Commutator. Given two linear endomorphisms 𝐴,𝐵 𝖵𝖾𝖼𝗍𝕂(𝑉,𝑉) the commutator is defined as #m/def/linalg

[𝐴,𝐵]=𝐴𝐵𝐵𝐴

This defines a Lie algebra called 𝔤𝔩𝑉.


#state/tidy | #lang/en | #SemBr