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Cohomological invariants and R-triviality of adjoint classical groups
Authors:Grégory?Berhuy  author-information"  >  author-information__contact u-icon-before"  >  mailto:gregory.berhuy@epfl.ch"   title="  gregory.berhuy@epfl.ch"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Marina?Monsurrò,Jean-Pierre?Tignol
Affiliation:(1) Département de mathématiques, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland;(2) Institut de Mathématique Pure et Appliquée, Université catholique de Louvain, 1348 Louvain-la-Neuve, Belgium
Abstract:Using a cohomological obstruction, we construct examples of absolutely simple adjoint classical groups of type 2An with nequiv3mod4, Cn or 1Dn with nequiv0mod4, which are not R-trivial hence not stably rational.Mathematics Subject Classification (2000): 11E57, 20G15in final form: 13 June 2003
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