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 a, representation of, lie and/or group:
“Acting is the physical representation of a mental picture and the projection of an emotional concept.”
—Laurette Taylor (1887–1946)
“America loves the representation of its heroes to be not just larger than life, but stupendously, awesomely bigger than anything else. If blue whales built statues to each other they’d be smaller then these.”
—Simon Hoggart (b. 1946)
“A mound of refuse or the sweepings of a street,
Old kettles, old bottles, and a broken can,
Old iron, old bones, old rags, that raving slut
Who keeps the till. Now that my ladder’s gone,
I must lie down where all the ladders start,
In the foul rag-and-bone shop of the heart.”
—William Butler Yeats (1865–1939)
“Stripped of ethical rationalizations and philosophical pretensions, a crime is anything that a group in power chooses to prohibit.”
—Freda Adler (b. 1934)