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:
“The sea’s vast depths lie open to the fish;
Wherever the breezes blow the bird may fly;
So to the brave man every land’s a home.”
—Ovid (Publius Ovidius Naso)
“It’s important to remember that feminism is no longer a group of organizations or leaders. It’s the expectations that parents have for their daughters, and their sons, too. It’s the way we talk about and treat one another. It’s who makes the money and who makes the compromises and who makes the dinner. It’s a state of mind. It’s the way we live now.”
—Anna Quindlen (20th century)