A Dynkin diagram with no multiple edges is called simply laced, as are the corresponding Lie algebra and Lie group. These are the diagrams, and phenomena that such diagrams classify are referred to as an ADE classification. In this case the Dynkin diagrams exactly coincide with Coxeter diagrams, as there are no multiple edges.
Read more about this topic: Dynkin Diagram
Famous quotes containing the words simply and/or laced:
“When it’s over I don’t want to wonder
if I have made of my life something particular, and real.
I don’t want to find myself sighing and frightened,
or full of argument.
I don’t want to end up simply having visited this world.”
—Mary Oliver (b. 1935)
“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)