Test for Leibniz n-algebra structure
نویسندگان
چکیده
منابع مشابه
Leibniz algebra deformations of a Lie algebra
In this note we compute Leibniz algebra deformations of the 3-dimensional nilpotent Lie algebra n3 and compare it with its Lie deformations. It turns out that there are 3 extra Leibniz deformations. We also describe the versal Leibniz deformation of n3 with the versal base.
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An algebraic deformation theory of morphisms of dual Leibniz algebras is obtained.
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A Leibniz n-algebra is a vector space equipped with an n-ary operation which has the property of being a derivation for itself. This property is crucial in Nambu mechanics. For n 2 this is the notion of Leibniz algebra. In this paper we prove that the free Leibniz n 1algebra can be described in terms of the n-magma, that is the set of n-ary planar trees. Then it is shown that the n-tensor ...
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The present paper is devoted to the investigation of properties of Cartan subalgebras and regular elements in Leibniz n-algebras. The relationship between Cartan subalgebras and regular elements of given Leibniz n-algebra and Cartan subalgebras and regular elements of the corresponding factor n-Lie algebra is established. 1 Institut für Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, D-...
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Let and be Banach algebras, , and . We define an -product on which is a strongly splitting extension of by . We show that these products form a large class of Banach algebras which contains all module extensions and triangular Banach algebras. Then we consider spectrum, Arens regularity, amenability and weak amenability of these products.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2016
ISSN: 0024-3795
DOI: 10.1016/j.laa.2016.01.014