Algbre de Lie
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Home > Art, Film & Photography > Algbre de Lie: Crochet de Lie, Systme de Racines, Oprateur de Casimir, Algbre de Kac-Moody, Groupe de Weyl, Classification de Bianchi
Algbre de Lie: Crochet de Lie, Systme de Racines, Oprateur de Casimir, Algbre de Kac-Moody, Groupe de Weyl, Classification de Bianchi

Algbre de Lie: Crochet de Lie, Systme de Racines, Oprateur de Casimir, Algbre de Kac-Moody, Groupe de Weyl, Classification de Bianchi


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About the Book

Les achats comprennent une adhsion l'essai gratuite au club de livres de l'diteur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur: Crochet de Lie, Systme de Racines, Oprateur de Casimir, Algbre de Kac-Moody, Groupe de Weyl, Classification de Bianchi, Algbre de Leibniz, Algbre Enveloppante, Thorme de Poincar-Birkhoff-Witt, Thorme D'engel, Thorme de Lie, Reprsentation D'algbre de Lie, Forme de Killing, Superalgbre de Lie, Bialgbre de Lie, Relation de Jacobi, Reprsentation Fondamentale, Thorme D'ado. Non illustr. Mises jour gratuites en ligne. Extrait: En mathmatiques, une algbre de Lie, nomme en l'honneur du mathmaticien Sophus Lie, est un espace vectoriel qui est muni d'un crochet de Lie bilinaire, antisymtrique et qui vrifie l'identit de Jacobi. Une algbre de Lie est un cas particulier d'algbre sur un corps. Soit un corps. Une algbre de Lie sur est un espace vectoriel sur muni d'une application bilinaire de dans qui vrifie les proprits suivantes: Le produit est appel crochet de Lie (ou simplement crochet) de et . Puisque le crochet est une fonction bilinaire alterne de, on a aussi l'identit pour tous dans . L'identit (2) ci-dessus est appele l'identit de Jacobi. Une sous-algbre de Lie de est un sous-espace vectoriel de stable pour le crochet de Lie. Toute sous-algbre de Lie de est munie de manire vidente d'une structure d'algbre de Lie sur . Remarque: contrairement aux algbres tensorielles (et aux algbres de Clifford, dont les algbres extrieures), les algbres de Lie ne sont pas unitaires, ni associatives. Un morphisme d'algbre de Lie est une application linaire qui respecte le crochet de Lie, c'est--dire telle que .Un idal de est un sous-espace vectoriel tel que . C'est en particulier une sous-algbre de Lie. Si une algbre de Lie n'admet pas d'idal non trivial, elle est dite simple. Si ...http: //booksllc.net/?l=fr


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Product Details
  • ISBN-13: 9781159371241
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • No of Pages: 62
  • Spine Width: 4 mm
  • Weight: 104 gr
  • ISBN-10: 1159371245
  • Publisher Date: 27 Jul 2010
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Crochet de Lie, Systme de Racines, Oprateur de Casimir, Algbre de Kac-Moody, Groupe de Weyl, Classification de Bianchi
  • Width: 229 mm


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