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The Tits indices over semilocal rings
Authors:Victor Petrov  Anastasia Stavrova
Institution:(1) Department of Mathematics, University of Georgia, Athens, USA;(2) Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA
Abstract:We give a simplified proof of the Tits classification of semisimple algebraic groups that remains valid over semilocal rings. We also give a new proof of the existence of all indices of exceptional inner type using the notion of canonical dimension of projective homogeneous varieties.
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