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L'invariant de Hasse-Witt de la forme de Killing

  Published:1998-12-01
 Printed: Dec 1998
  • Jorge Morales
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Abstract

Nous montrons que l'invariant de Hasse-Witt de la forme de Killing d'une alg{\`e}bre de Lie semi-simple $L$ s'exprime {\`a} l'aide de l'invariant de Tits de la repr{\'e}sentation irr{\'e}ductible de $L$ de poids dominant $\rho=\frac{1}{2}$ (somme des racines positives), et des invariants associ{\'e}s au groupe des sym{\'e}tries du diagramme de Dynkin de $L$.
MSC Classifications: 11E04, 11E72, 17B10, 17B20, 11E88, 15A66 show english descriptions Quadratic forms over general fields
Galois cohomology of linear algebraic groups [See also 20G10]
Representations, algebraic theory (weights)
Simple, semisimple, reductive (super)algebras
Quadratic spaces; Clifford algebras [See also 15A63, 15A66]
Clifford algebras, spinors
11E04 - Quadratic forms over general fields
11E72 - Galois cohomology of linear algebraic groups [See also 20G10]
17B10 - Representations, algebraic theory (weights)
17B20 - Simple, semisimple, reductive (super)algebras
11E88 - Quadratic spaces; Clifford algebras [See also 15A63, 15A66]
15A66 - Clifford algebras, spinors
 

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