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:
“Hardly ever can a youth transferred to the society of his betters unlearn the nasality and other vices of speech bred in him by the associations of his growing years. Hardly ever, indeed, no matter how much money there be in his pocket, can he ever learn to dress like a gentleman-born. The merchants offer their wares as eagerly to him as to the veriest “swell,” but he simply cannot buy the right things.”
—William James (1842–1910)
“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)