A. Babic and V. Chernousov: Lower bounds for essential dimensions in characteristic 2 via orthogonal representations.

ababic@ualberta.ca; vladimir@ualberta.ca

Submission: 2014, Nov 11

We give a lower bound for the essential dimension of a split simple algebraic group of "adjoint" type over a field of characteristic 2. We also compute the essential dimension of orthogonal and special orthogonal groups in characteristic 2.

2010 Mathematics Subject Classification: 11E04, 11E57, 11E72, secondary 11E81, 14L35, 20G15

Keywords and Phrases: Linear algebraic group, essential dimension, torsor, orthogonal representation, Killing form, quadratic form.

Full text: dvi.gz 49 k, dvi 118 k, ps.gz 899 k, pdf.gz 234 k, pdf 262 k.

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