Results 81 to 90 of about 455 (185)
Steinberg–Leibniz algebras and superalgebras
Journal of Algebra, 2005 The Steinberg Lie algebra \({\mathfrak s}{\mathfrak t}(n,A)\), \(n\geq 3\), over a unital associative algebra \(A\) is the universal central extension of the matrix Lie algebra \({\mathfrak s}{\mathfrak l}(n,A)\), and the Leibniz algebra \({\mathfrak s}{\mathfrak t}{\mathfrak l}(n,A)\) has a similar property in the category of Leibniz algebras.
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Odd Jacobi Manifolds and Loday-Poisson Brackets
Journal of Mathematics, 2014 We construct a nonskew symmetric version of a Poisson bracket on the algebra of smooth functions on an odd Jacobi supermanifold. We refer to such Poisson-like brackets as Loday-Poisson brackets.
Andrew James Bruce
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On Soft Intersection Leibniz Algebras
Indian Journal of Pure and Applied Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Leibniz Representations of Lie Algebras
Journal of Algebra, 1996 The authors examine the category \(L({\mathfrak g})\) of finite-dimensional Leibniz representation [the authors, Math. Ann. 296, 139-158 (1993; Zbl 0821.17022)] of the finite-dimensional semisimple Lie algebra \({\mathfrak g}\). First, they notice that \(L({\mathfrak g})\) is not semisimple even when the characteristic of the field \(k\) is 0.
Loday, J-L, Pirashvili, T
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On Leibniz algebras, whose subideals are ideals
Доповiдi Нацiональної академiї наук УкраїниWe obtain a description of solvable Leibniz algebras, whose subideals are ideals. A description of certain types of Leibniz T-algebras is also obtained. In particular, it is established that the structure of Leibniz T-algebras essentially depends on the
L.A. Kurdachenko +2 more
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Lattices of Subalgebras of Leibniz Algebras [PDF]
Communications in Algebra, 2012 I describe the lattice of subalgebras of a one-generator Leibniz algebra. Using this, I show that, apart from one special case, a lattice isomorphism between Leibniz algebras L, L' maps the Leibniz kernel of L to that of L'.
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MathematicsWe introduce para-associative algebroids as vector bundles whose sections form a ternary algebra with a generalised form of associativity. We show that a necessary and sufficient condition for local triviality is the existence of a differential ...
Andrew James Bruce
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Global Integration of Leibniz Algebras
Journal of Lie Theory, 2017 Summary: We present a global integration procedure of any real finite-dimensional Leibniz algebra into a Lie rack which reduces in the particular case of a Lie algebra to the ordinary connected simply connected Lie group. The construction is not functorial.
Bordemann, Martin, Wagemann, Friedrich
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A Comment on the Integration of Leibniz Algebras [PDF]
Communications in Algebra, 2013 6 ...
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Solvable Leibniz algebras with NFn⊕ Fm1$\begin{array}{} F_{m}^{1} \end{array} $ nilradical
Open Mathematics, 2017 All finite-dimensional solvable Leibniz algebras L, having N = NFn⊕ Fm1$\begin{array}{} F_{m}^{1} \end{array} $ as the nilradical and the dimension of L equal to n+m+3 (the maximal dimension) are described.
Camacho L.M. +3 more
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