Computing abelian subalgebras for linear algebras of upper-triangular matrices from an algorithmic perspective [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 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 ...
Ceballos Manuel +2 more
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The gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge: taking into account the effects of the Gribov copies and of the dimension two condensates [PDF]
Physical Review D, 2008 The infrared behavior of the gluon and ghost propagators is studied in SU(2) Euclidean Yang-Mills theory in the maximal Abelian gauge within the Gribov-Zwanziger framework.
A. Cucchieri +8 more
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Absolutely simple polarized abelian varieties of odd Sophie Germain prime dimension over finite fields with maximal automorphism groups [PDF]
Journal of Number Theory, 2021 13 pages.
WonTae Hwang, Kyunghwan Song
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Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras
Communications in Algebra, 2022 arXiv admin note: text overlap with arXiv:2105 ...
Manuel Ceballos, David A. Towers
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On abelian subalgebras and ideals of maximal dimension in supersolvable Lie algebras [PDF]
Journal of Pure and Applied Algebra, 2014 In this paper, the main objective is to compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional supersolvable Lie algebras. We characterise the maximal abelian subalgebras of solvable Lie algebras and study solvable Lie algebras containing an abelian subalgebra of codimension 2.
Ceballos, Manuel, Towers, David
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Abelian subalgebras and ideals of maximal dimension in Leibniz algebras
, 2021 In this paper, we compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional Leibniz algebras. We study Leibniz algebras containing abelian subalgebras of codimension 1, solvable and supersolvable Leibniz algebras for codimensions 1 and 2, nilpotent Leibniz algebras in case of codimension 2 and we also analyze the case of k ...
Ceballos, Manuel, Towers, David A.
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Dimension and rank for mapping class groups [PDF]
, 2007 We study the large scale geometry of the mapping class group, MCG. Our main result is that for any asymptotic cone of MCG, the maximal dimension of locally compact subsets coincides with the maximal rank of free abelian subgroups of MCG.
Behrstock, Jason A., Minsky, Yair N.
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Abelian ideals of maximal dimension for solvable Lie algebras
Journal of Lie Theory, 2009 We compare the maximal dimension of abelian subalgebras and the maximal dimension of abelian ideals for finite-dimensional Lie algebras. We show that these dimensions coincide for solvable Lie algebras over an algebraically closed field of characteristic zero.
Burde, Dietrich, Ceballos, Manuel
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Abelian subalgebras and ideals of maximal dimension in supersolvable and nilpotent lie algebras [PDF]
Linear and Multilinear Algebra, 2020 In this paper, we continue the study of abelian subalgebras and ideals of maximal dimension for finite-dimensional supersolvable and nilpotent Lie algebras.
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Isogeny graphs of ordinary abelian varieties [PDF]
, 2016 Fix a prime number $\ell$. Graphs of isogenies of degree a power of $\ell$ are well-understood for elliptic curves, but not for higher-dimensional abelian varieties.
Brooks, Ernest Hunter +2 more
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