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The Tits indices over semilocal rings

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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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Correspondence to Victor Petrov.

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Partially supported by PIMS fellowship, RFBR 08-01-00756, 09-01-90304, 09-01-00878, 09-01-91333, 10-01-90016, 10-01-92651.

Partially supported by DFG GI 706/1-2, RFBR 09-01-00878, 09-01-90304, 10-01- 90016, 10-01-00551.

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Petrov, V., Stavrova, A. The Tits indices over semilocal rings. Transformation Groups 16, 193–217 (2011). https://doi.org/10.1007/s00031-010-9112-7

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  • DOI: https://doi.org/10.1007/s00031-010-9112-7

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