Adjoint Representation of A Lie Group

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:

    Never lie in writing.
    Mason Cooley (b. 1927)

    Even in harmonious families there is this double life: the group life, which is the one we can observe in our neighbour’s household, and, underneath, another—secret and passionate and intense—which is the real life that stamps the faces and gives character to the voices of our friends. Always in his mind each member of these social units is escaping, running away, trying to break the net which circumstances and his own affections have woven about him.
    Willa Cather (1873–1947)