More Examples of Lie Groups
Lie groups occur in abundance throughout mathematics and physics. Matrix groups or algebraic groups are (roughly) groups of matrices (for example, orthogonal and symplectic groups), and these give most of the more common examples of Lie groups.
Read more about this topic: Lie Group
Famous quotes containing the words examples, lie and/or groups:
“In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.”
—Michel de Montaigne (1533–1592)
“[T]he minister preached a sermon on Jonah and the whale, at the end of which an old chief arose and declared, “We have heard several of the white people talk and lie; we know they will lie, but this is the biggest lie we ever heard.””
—Administration in the State of Miss, U.S. public relief program (1935-1943)
“If we can learn ... to look at the ways in which various groups appropriate and use the mass-produced art of our culture ... we may well begin to understand that although the ideological power of contemporary cultural forms is enormous, indeed sometimes even frightening, that power is not yet all-pervasive, totally vigilant, or complete.”
—Janice A. Radway (b. 1949)