• Thumbnail for Dynkin diagram
    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
  • Thumbnail for Coxeter–Dynkin diagram
    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...
    488 bytes (92 words) - 20:36, 25 March 2024
  • Thumbnail for Eugene Dynkin
    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...
    12 KB (1,146 words) - 14:51, 15 August 2024
  • 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
  • Thumbnail for Root system
    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...
    52 KB (6,237 words) - 06:58, 7 July 2024
  • A diagram is a symbolic representation of information using visualization techniques. Diagrams have been used since prehistoric times on walls of caves...
    16 KB (1,060 words) - 05:11, 9 July 2024
  • Thumbnail for Reductive group
    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
  • Thumbnail for E8 (mathematics)
    (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
  • Thumbnail for Triality
    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