On the Brauer group of a semisimple algebraic group

• Autores: Stefan Gille
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 220, Nº 3, 2009, págs. 913-925
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.10.004
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• Resumen

  • Let k be a field with algebraic closure , G a semisimple algebraic k-group, and a maximal torus with character group . Denote ? the abstract weight lattice of the roots system of G, and by and the n-torsion subgroup of the Brauer group of k and G, respectively. We prove that if chark does not divide n and n is prime to the order of then the natural homomorphism is an isomorphism.