Simply Laced Groups
A simply laced group is a Lie group whose Dynkin diagram only contain simple links, and therefore all the nonzero roots of the corresponding Lie algebra have the same length. The A, D and E series groups are all simply laced, but no group of type B, C, F, or G is simply laced.
Read more about this topic: Simple Lie Group
Famous quotes containing the words simply, laced and/or groups:
“No publisher should ever express an opinion on the value of what he publishes. That is a matter entirely for the literary critic to decide.... I can quite understand how any ordinary critic would be strongly prejudiced against a work that was accompanied by a premature and unnecessary panegyric from the publisher. A publisher is simply a useful middle-man. It is not for him to anticipate the verdict of criticism.”
—Oscar Wilde (1854–1900)
“Time now to pack this humpty-dumpty
back the frightened way she came
and run alongnne, and run along now,
my stomach laced up like a football
for the game.”
—Anne Sexton (1928–1974)
“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)