Lie groups and Lie algebras of infinitesimal generators Lie point symmetry

lie algebras can generated generating set of infinitesimal generators. every lie group, 1 can associate lie algebra. roughly, lie algebra





g




{\displaystyle {\mathfrak {g}}}

algebra constituted vector space equipped lie bracket additional operation. base field of lie algebra depends on concept of invariant. here finite-dimensional lie algebras considered.