arXiv:0708.2256 Abstract | arXiv Analytics

arXiv:0708.2256 [math.GR]Abstract References Reviews Resources

Automorphisms and isomorphisms of Chevalley groups and algebras

Published 2007-08-16, updated 2009-08-02Version 4

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.

Comments: 8 pages. A Russian version of this paper is at http://mech.math.msu.su/department/algebra/staff/klyachko/papers.htm . V4: minor changes in Introduction and References

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

DOI: 10.1016/j.jalgebra.2009.08.024

Categories: math.GR, math.RA, math.RT

Keywords: isomorphisms, adjoint chevalley group, elementary subgroup, automorphism group

Tags: journal article

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