• Thumbnail for Satake diagram
    study of Lie algebras and Lie groups, a Satake diagram is a generalization of a Dynkin diagram introduced by Satake (1960, p.109) whose configurations classify...
    7 KB (911 words) - 08:30, 22 June 2024
  • Thumbnail for Dynkin diagram
    semisimple Lie algebras, and these are classified by Satake diagrams, which are obtained from the Dynkin diagram by labeling some vertices black (filled), and...
    77 KB (5,608 words) - 07:05, 10 May 2024
  • Hiroshima, Japan Asteroid 8194 Satake Ichirō Satake (1927–2014), Japanese mathematician Satake isomorphism Satake diagram Misako Satake (佐竹 美佐子, born 1951), Japanese...
    649 bytes (95 words) - 07:06, 5 July 2020
  • Thumbnail for Real form (Lie theory)
    by Dynkin diagrams, the real forms of a semisimple Lie algebra are classified by Satake diagrams, which are obtained from the Dynkin diagram of the complex...
    6 KB (818 words) - 14:46, 20 June 2023
  • Thumbnail for Ichirō Satake
    isomorphism and Satake diagrams. He was considered an iconic figure in the theory of linear algebraic groups and symmetric spaces. Satake was born in Tokyo...
    5 KB (413 words) - 01:29, 2 September 2023
  • that indicates the maximal compact subgroup. Although they resemble Satake diagrams they are a different way of classifying simple Lie algebras. Knapp...
    617 bytes (74 words) - 05:50, 13 May 2024
  • Thumbnail for Reductive group
    to classifying the simple Lie groups. These are classified by their Satake diagram; or one can just refer to the list of simple Lie groups (up to finite...
    55 KB (7,845 words) - 18:28, 24 April 2024
  • A molecular orbital diagram, or MO diagram, is a qualitative descriptive tool explaining chemical bonding in molecules in terms of molecular orbital theory...
    39 KB (4,968 words) - 12:08, 22 September 2024
  • Thumbnail for Symmetric space
    symmetric spaces. Orthogonal symmetric Lie algebra Relative root system Satake diagram Cartan involution Jurgen Jost, (2002) "Riemannian Geometry and Geometric...
    45 KB (4,599 words) - 17:08, 4 November 2024
  • Thumbnail for Simple Lie algebra
    and some additional information. This can be done by Satake diagrams that generalize Dynkin diagrams. See also Table of Lie groups#Real Lie algebras for...
    3 KB (538 words) - 09:30, 11 October 2023