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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Growth of two-step solvable Lie algebras


Authors: Shigeru Kobayashi and Manabu Sanami
Journal: Proc. Amer. Math. Soc. 109 (1990), 859-863
MSC: Primary 17B30; Secondary 16P90, 16S30, 17B35
MathSciNet review: 1015681
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Abstract: It is proved that every finitely generated infinite-dimensional twostep solvable Lie algebra has polynomially bounded growth. As a corollary, it is shown that the universal enveloping algebras of such Lie algebras are not Noetherian but of Krull domain.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1015681-5
Article copyright: © Copyright 1990 American Mathematical Society