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)
“Carlyle said “a lie cannot live.” It shows that he did not know how to tell them. If I had taken out a life policy on this one the premiums would have bankrupted me ages ago.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“Women over fifty already form one of the largest groups in the population structure of the western world. As long as they like themselves, they will not be an oppressed minority. In order to like themselves they must reject trivialization by others of who and what they are. A grown woman should not have to masquerade as a girl in order to remain in the land of the living.”
—Germaine Greer (b. 1939)