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...
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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...
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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...
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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...
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that indicates the maximal compact subgroup. Although they resemble Satake diagrams they are a different way of classifying simple Lie algebras. Knapp...
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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...
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A molecular orbital diagram, or MO diagram, is a qualitative descriptive tool explaining chemical bonding in molecules in terms of molecular orbital theory...
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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
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