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
Famous quotes containing the words representation of, lie and/or group:
“The pleasure we derive from the representation of the present is due, not only to the beauty it can be clothed in, but also to its essential quality of being the present.”
—Charles Baudelaire (1821–1867)
““Oh tell her I lie in Kirk-land fair,
And home shall never come.””
—Unknown. The Twa Brothers (l. 39–40)
“Unless a group of workers know their work is under surveillance, that they are being rated as fairly as human beings, with the fallibility that goes with human judgment, can rate them, and that at least an attempt is made to measure their worth to an organization in relative terms, they are likely to sink back on length of service as the sole reason for retention and promotion.”
—Mary Barnett Gilson (1877–?)