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Start Over Author "Ángel F. Tenorio" Journal aip conference proceedings
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1. An Algorithm to Compute Abelian Subalgebras in Linear Algebras of Upper-Triangular Matrices

Author

Manuel Ceballos, Juan Núñez, Ángel F. Tenorio, George Maroulis, and Theodore E. Simos

Subjects
Combinatorics, Solvable Lie algebra, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Lie algebra, Subalgebra, Triangular matrix, Order (group theory), Elementary abelian group, Abelian group, Algorithm, Rank of an abelian group, Mathematics
Abstract

This paper deals with the maximal abelian dimension of the Lie algebra hn, of n×n upper‐triangular matrices. Regarding this, we obtain an algorithm which computes abelian subalgebras of hn as well as its implementation (and a computational study) by using the symbolic computation package MAPLE, where the order n of the matrices in hn is the unique input needed. Let us note that the algorithm also allows us to obtain a maximal abelian subalgebra of hn.

Published
2009
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