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:
“Uncertainty about the outcome is a given in child rearing and not a reflection of a mother’s inadequacy. She should not be misled by her wish to be omnipotent, all-powerful, all-giving, the perfect mother, who will right all the wrongs and make up for all the deprivations of her own childhood. She is simply an imperfect human being with needs of her own.”
—Elaine Heffner (20th century)
“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)
“The awareness of the all-surpassing importance of social groups is now general property in America.”
—Johan Huizinga (1872–1945)