Automorphisms and isomorphisms of Chevalley groups and algebras

Abstract

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.

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

References in corpus (2)

• Automorphisms of Chevalley groups over commutative rings
• Automorphisms of elementary adjoint Chevalley groups of types $A_l,D_l,E_l$ over local rings with 1/2

Cited by in corpus (6)

• Automorphisms of Chevalley groups of types $A_l,D_l,E_l$ over local rings without 1/2
• Automorphisms of Chevalley groups of type $F_4$ over local rings with 1/2
• Automorphisms of Chevalley groups of type $B_l$ over local rings with 1/2
• Automorphisms of Chevalley groups of different types over commutative rings
• Automorphisms and isomorphisms of Chevalley groups of type $G_2$ over local rings with 1/2 and 1/3
• Normalizer of Twisted Chevalley Groups over Commutative Rings