Automorphisms and isomorphisms of Chevalley groups and algebras

Details Automorphisms and isomorphisms of Chevalley groups and algebras Automorphisms and isomorphisms of Chevalley groups and algebras

2007-08-16

arxiv.org/abs/0708.2256v4

Journal of Algebra, 2010, 324:10, 2608-2619

Mathematics

Group Theory

8 pages. A Russian version of this paper is at http://mech.math.msu.su/department/algebra/staff/klyachko/papers.htm . V4: mi

Scientific paper

10.1016/j.jalgebra.2009.08.024

An adjoint Chevalley group of rank at least 2 over a rational algebra (or a
similar ring), its elementary subgroup, and the corresponding Lie ring have the
same automorphism group. These automorphisms are explicitly described.

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