a Dynkin diagram, named for Eugene Dynkin, is a type of graph with some edges doubled or tripled (drawn as a double or triple line). Dynkin diagrams arise...
77 KB (5,608 words) - 07:05, 10 May 2024
In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing a Coxeter...
57 KB (3,213 words) - 19:15, 9 August 2024
Aleksandr Dynkin (born 1948), Russian economist Eugene Dynkin (1924–2014), Soviet and American mathematician known for Dynkin diagram Coxeter–Dynkin diagram Dynkin...
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algebras, and Markov processes. The Dynkin diagram, the Dynkin system, and Dynkin's lemma are named after him. Dynkin was born into a Jewish family, living...
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Affine Lie algebra (redirect from Twisted affine Dynkin diagram)
obtain other Dynkin diagrams and these correspond to twisted affine Lie algebras. The attachment of an extra node to the Dynkin diagram of the corresponding...
15 KB (2,467 words) - 14:01, 6 August 2024
Root system (redirect from Root diagram)
are applied. Further, the classification scheme for root systems, by Dynkin diagrams, occurs in parts of mathematics with no overt connection to Lie theory...
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A diagram is a symbolic representation of information using visualization techniques. Diagrams have been used since prehistoric times on walls of caves...
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field. In particular, the simple algebraic groups are classified by Dynkin diagrams, as in the theory of compact Lie groups or complex semisimple Lie algebras...
55 KB (7,845 words) - 18:28, 24 April 2024
E8 (mathematics) (section Dynkin diagram)
(over a perfect field k) by the set H1(k,Aut(E8)), which, because the Dynkin diagram of E8 (see below) has no automorphisms, coincides with H1(k,E8). Over...
46 KB (6,107 words) - 23:33, 8 August 2024
vector spaces. Most commonly, it describes those special features of the Dynkin diagram D4 and the associated Lie group Spin(8), the double cover of 8-dimensional...
6 KB (770 words) - 15:44, 21 February 2024