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Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal. [PDF]

open access: yesRes Math Sci
Fink A   +3 more
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Abelian Subalgebras and Ideals of Maximal Dimension in Solvable Leibniz Algebras

Mediterranean Journal of Mathematics, 2023
The paper under review is a study of abelian subalgebras and ideals of maximal dimension in finite dimensional Leibniz algebras over a field, and generalizes the authors' previous results on Lie algebras [J. Pure Appl. Algebra 218, No. 3, 497--503 (2014; Zbl 1281.17006)]. Recall that a right Leibniz algebra \(L\) [\textit{J.-L.
Manuel Ceballos, David A. Towers
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Algorithm to compute the maximal abelian dimension of Lie algebras

Computing, 2009
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Ceballos, M.   +2 more
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Maximal Abelian Dimensions in Some Families of Nilpotent Lie Algebras

Algebras and Representation Theory, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benjumea, Juan C.   +2 more
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The abelian subalgebras of maximal dimensions for general linear Lie superalgebras

Linear and Multilinear Algebra, 2016
Over an algebraically closed field of characteristic zero, all the abelian subalgebras of maximal dimensions for the general linear Lie superalgebras are classified in the sense of conjugation. As a consequence, the minimal faithful representations are determined for the so-called nice abelian Lie superalgebras.
Shujuan Wang, Wende Liu
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