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Transactions of the American Mathematical Society

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

 

 

Analytic left algebraic groups. II


Author: Andy R. Magid
Journal: Trans. Amer. Math. Soc. 238 (1978), 165-177
MSC: Primary 20G20; Secondary 17B45, 22E10
DOI: https://doi.org/10.1090/S0002-9947-1978-0473033-X
MathSciNet review: 0473033
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Abstract: An analytic left algebraic group is a complex analytic group carrying a structure of affine algebraic variety such that left translations by fixed elements are morphisms. The core of such a group is the (algebraic) subgroup of all elements such that right translation by them is a morphism. It is shown that the core determines the left algebraic structure, and this is used to determine when left algebraic structures are conjugate by inner automorphisms.


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DOI: https://doi.org/10.1090/S0002-9947-1978-0473033-X
Article copyright: © Copyright 1978 American Mathematical Society