Algorithm to compute the maximal abelian dimension of Lie algebras

被引：4

作者：

Ceballos, M. ^{[2
]}

Nunez, J. ^{[2
]}

Tenorio, A. F. ^{[1
]}

机构：

[1] Univ Pablo Olavide, Dpto Econ, Met Cuant eHEc, Seville, Spain

[2] Univ Seville, Dpto Geometria & Topol, Seville, Spain

来源：

COMPUTING | 2009年 / 84卷 / 3-4期

关键词：

Solvable Lie algebra; Maximal abelian dimension; Algorithm; UPPER-TRIANGULAR MATRICES; SUBALGEBRAS;

D O I：

10.1007/s00607-009-0029-8

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, the maximal abelian dimension is computationally obtained for an arbitrary finite-dimensional Lie algebra, defined by its nonzero brackets. More concretely, we describe and implement an algorithm which computes such a dimension by running it in the symbolic computation package MAPLE. Finally, we also show a computational study related to this implementation, regarding both the computing time and the memory used.

引用

页码：231 / 239

页数：9

共 9 条

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