Automorphisms and twisted forms of generalized Witt Lie algebras
Author:
William C. Waterhouse
Journal:
Trans. Amer. Math. Soc. 327 (1991), 185200
MSC:
Primary 17B40; Secondary 17B50
MathSciNet review:
1038018
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Abstract: We prove that the automorphisms of the generalized Witt Lie algebras over arbitrary commutative rings of characteristic all come from automorphisms of the algebras on which they are defined as derivations. By descent theory, this result then implies that if a Lie algebra over a field becomes isomorphic to over the algebraic closure, it is a derivation algebra of the type studied long ago by Ree. Furthermore, all isomorphisms of those derivation algebras are induced by isomorphisms of their underlying associative algebras.
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DOI:
http://dx.doi.org/10.1090/S0002994719911038018X
PII:
S 00029947(1991)1038018X
Article copyright:
© Copyright 1991 American Mathematical Society
