In mathematics and theoretical physics, the idea of a representation of a Lie group plays an important role in the study of continuous symmetry. A great deal is known about such representations, a basic tool in their study being the use of the corresponding 'infinitesimal' representations of Lie algebras. The physics literature sometimes passes over the distinction between Lie group representations and Lie algebra representations.
Read more about Representation Of A Lie Group: Representations On A Complex Finite-dimensional Vector Space, Representations On A Finite-dimensional Vector Space Over An Arbitrary Field, Representations On Hilbert Spaces, Classification, Formulaic Examples
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