maximal abelian dimension
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2016 ◽  
Vol 24 (2) ◽  
pp. 137-147
Author(s):  
Manuel Ceballos ◽  
Juan Núñez ◽  
Ángel F. Tenorio

Abstract In this paper, the maximal abelian dimension is algorithmically and computationally studied for the Lie algebra hn, of n×n upper-triangular matrices. More concretely, we define an algorithm to compute abelian subalgebras of hn besides programming its implementation with the symbolic computation package MAPLE. The algorithm returns a maximal abelian subalgebra of hn and, hence, its maximal abelian dimension. The order n of the matrices hn is the unique input needed to obtain these subalgebras. Finally, a computational study of the algorithm is presented and we explain and comment some suggestions and comments related to how it works.



Computing ◽  
2009 ◽  
Vol 84 (3-4) ◽  
pp. 231-239 ◽  
Author(s):  
M. Ceballos ◽  
J. Núñez ◽  
A. F. Tenorio


2007 ◽  
Vol 152 (3) ◽  
pp. 1225-1233 ◽  
Author(s):  
J. C. Benjumea ◽  
J. Núñez ◽  
Á. F. Tenorio


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