Adjoint Representation Of A Lie Group
In mathematics, the adjoint representation (or adjoint action) of a Lie group G is the natural representation of G on its own Lie algebra. This representation is the linearized version of the action of G on itself by conjugation.
Read more about Adjoint Representation Of A Lie Group: Formal Definition, Examples, Properties, Roots of A Semisimple Lie Group, Variants and Analogues
Famous quotes containing the words lie and/or group:
“In the middle of the night, as indeed each time that we lay on the shore of a lake, we heard the voice of the loon, loud and distinct, from far over the lake. It is a very wild sound, quite in keeping with the place and the circumstances of the traveler, and very unlike the voice of a bird. I could lie awake for hours listening to it, it is so thrilling.”
—Henry David Thoreau (18171862)
“We often overestimate the influence of a peer group on our teenager. While the peer group is most influential in matters of taste and preference, we parents are most influential in more abiding matters of standards, beliefs, and values.”
—David Elkind (20th century)