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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



On the group of automorphisms of affine algebraic groups

Author: Dong Hoon Lee
Journal: Trans. Amer. Math. Soc. 237 (1978), 145-152
MSC: Primary 14L15; Secondary 20G45
MathSciNet review: 0491739
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Abstract: We study the conservativeness property of affine algebraic groups over an algebraically closed field of characteristic 0 and of their group of automorphisms. We obtain a certain decomposition of affine algebraic groups, and this, together with the result of Hochschild and Mostow, becomes a major tool in our study of the conservativeness property of the group of automorphisms.

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Keywords: Affine algebraic groups, conservative, Hopf algebra, antipodes, comultiplication
Article copyright: © Copyright 1978 American Mathematical Society