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On the Codimension Growth of Finite-Dimensional Lie Algebras

✍ Scribed by Antonio Giambruno; Amitai Regev; Michail Zaicev

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 82 KB
Volume: 220
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.7933

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✦ Synopsis

We study the exponential growth of the codimensions c L of a finite-dimenn sional Lie algebra L over a field of characteristic zero. We show that if the n solvable radical of L is nilpotent then lim c L exists and is an integer.

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