Results 11 to 20 of about 553 (44)
The Leibniz algebras whose subalgebras are ideals
Open Mathematics, 2017 In this paper we obtain the description of the Leibniz algebras whose subalgebras are ideals.
Kurdachenko Leonid A. +2 more
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Outer restricted derivations of nilpotent restricted Lie algebras [PDF]
, 2011 In this paper we prove that every finite-dimensional nilpotent restricted Lie algebra over a field of prime characteristic has an outer restricted derivation whose square is zero unless the restricted Lie algebra is a torus or it is one-dimensional or it
Feldvoss, Jörg +2 more
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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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Chief factors covered by projectors of soluble Leibniz algebras
, 2011 Let F be a saturated formation of soluble Leibniz algebras. Let K be an F-projector and A/B a chief factor of the soluble Leibniz algebra L. It is well-known that if A/B is F-central, then K covers A/B.
Barnes, Donald W.
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Capability of Nilpotent Lie algebras with small derived Subalgebra
, 2013 In this paper, we classify all capable nilpotent Lie algebras with derived subalgebra of dimension at most 1.Comment: To appear in J.
Alamian +28 more
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Structure of nilpotent Lie algebra by its multiplier [PDF]
, 2010 For a finite dimensional Lie algebra $L$, it is known that $s(L)=\f{1}{2}(n-1)(n-2)+1-\mathrm{dim} M(L)$ is non negative. Moreover, the structure of all finite nilpotent Lie algebras is characterized when $s(L)=0,1$ in \cite{ni,ni4}.
Niroomand, Peyman
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Estimations of the low dimensional homology of Lie algebras with large abelian ideals [PDF]
, 2013 A Lie algebra $L$ of dimension $n \ge1 $ may be classified, looking for restrictions of the size on its second integral homology Lie algebra $H_2(L,\mathbb{Z})$, denoted by $M(L)$ and often called Schur multiplier of $L$.
Francesco, G. Russo, Peyman Niroomand
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A characterization of nilpotent Leibniz algebras
, 2012 W. A. Moens proved that a Lie algebra is nilpotent if and only if it admits an invertible Leibniz-derivation. In this paper we show that with the definition of Leibniz-derivation from W. A.
Fialowski, Alice +2 more
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Wedge modules for two-parameter quantum groups
, 2013 The Yang-Baxterization R(z) of the trigonometric R-matrix is computed for the two-parameter quantum affine algebra of type A. Using the fusion procedure we construct all fundamental representations of the quantum algebra as wedge products of the natural ...
Jing, Naihuan, Liu, Ming, Zhang, Lili
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On complex nilpotent Leibniz superalgebras of nilindex n+m [PDF]
, 2008 We present the description up to isomorphism of Leibniz superal- gebras with characteristic sequence (n|m1, . . . ,mk) and nilindex n+m, where m = m1 + · · · + mk, n and m (m 6= 0) are dimensions of even and odd parts, respectively.Junta de Andalucía ...
Camacho Santana, Luisa María +3 more
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