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This article is cited in 17 scientific papers (total in 17 papers)
Automorphisms of elementary adjoint Chevalley groups of types $A_l$, $D_l$, and $E_l$ over local rings with 1/2
E. I. Bunina Chair of High Algebra, Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Moscow, RUSSIA
Abstract:
It is proved that every automorphism of an elementary adjoint Chevalley group of type $A_l$, $D_l$, or $E_l$ over a local commutative ring with 1/2 is a composition of a ring automorphism and conjugation by some matrix from the normalizer of that Chevalley group in $GL(V)$ ($V$ is an adjoint representation space).
Keywords:
automorphism, elementary adjoint Chevalley group, local commutative ring.
Received: 28.02.2007 Revised: 18.07.2008
Citation:
E. I. Bunina, “Automorphisms of elementary adjoint Chevalley groups of types $A_l$, $D_l$, and $E_l$ over local rings with 1/2”, Algebra Logika, 48:4 (2009), 443–470; Algebra and Logic, 48:4 (2009), 250–267
Linking options:
https://www.mathnet.ru/eng/al408 https://www.mathnet.ru/eng/al/v48/i4/p443
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Abstract page: | 462 | Full-text PDF : | 108 | References: | 76 | First page: | 4 |
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