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 past is interesting not only for the beauty which the artists for whom it was the present were able to extract from it, but also as past, for its historical value. The same goes for the present. The pleasure which we derive from the representation of the present is due not only to the beauty in which it may be clothed, but also from its essential quality of being present.”
—Charles Baudelaire (1821–1867)
“It is often the case that the man who can’t tell a lie thinks he is the best judge of one.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“No other group in America has so had their identity socialized out of existence as have black women.... When black people are talked about the focus tends to be on black men; and when women are talked about the focus tends to be on white women.”
—bell hooks (b. c. 1955)