On the codimension growth of finite-dimensional Lie algebras

被引：14

作者：

Giambruno, A

Regev, A

Zaicev, M

机构：

[1] Univ Palermo, Dipartimento Matemat, I-90123 Palermo, Italy

[2] Penn State Univ, Dept Math, State Coll, PA 16802 USA

[3] Weizmann Inst Sci, Dept Theoret Math, IL-76100 Rehovot, Israel

[4] Moscow MV Lomonosov State Univ, Fac Math & Mech, Dept Algebra, Moscow 119899, Russia

来源：

JOURNAL OF ALGEBRA | 1999年 / 220卷 / 02期

关键词：

D O I：

10.1006/jabr.1999.7933

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the exponential growth of the codimensions c(n)(L) of a finite-dimensional Lie algebra L over a field of characteristic zero. We show that if the solvable radical of L is nilpotent then lim(n-->infinity)(n)root c(n)(L) exists and is an integer. (C) 1999 Academic Press.

引用

页码：466 / 474

页数：9

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