gille@math.u-psud.fr

Submission: 2006, Mar 16

We construct examples of semisimple simply connected algebraic groups G/k respectively of trialitarian type, E_6, E_7, E_8 which are not k-rational varieties.

2000 Mathematics Subject Classification: 14M20, 20G15, 11E72

Keywords and Phrases: rationality, semisimple groups, Bruhat-Tits theory

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