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:
“Every child has an inner timetable for growth—a pattern unique to him. . . . Growth is not steady, forward, upward progression. It is instead a switchback trail; three steps forward, two back, one around the bushes, and a few simply standing, before another forward leap.”
—Dorothy Corkville Briggs (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)