Results 61 to 70 of about 39,924 (177)
The description of the automorphism groups of finite-dimensional cyclic Leibniz algebras
Доповiдi Нацiональної академiї наук України, 2022 In the study of Leibniz algebras, the information about their automorphisms (as well as about endomorphisms, derivations, etc.) is very useful. We describe the automorphism groups of finite-dimensional cyclic Leibniz algebras. In particular, we consider
L.A. Kurdachenko +2 more
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Metriplectic Algebra for Dissipative Fluids in Lagrangian Formulation
Entropy, 2015 The dynamics of dissipative fluids in Eulerian variables may be derived from an algebra of Leibniz brackets of observables, the metriplectic algebra, that extends the Poisson algebra of the frictionless limit of the system via a symmetric semidefinite ...
Massimo Materassi
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New models for some free algebras of small ranks
Karpatsʹkì Matematičnì Publìkacìï, 2023 Dimonoids, generalized digroups and doppelsemigroups are algebras defined on a set with two binary associative operations. The notion of a dimonoid was introduced by J.-L.
A.V. Zhuchok, G.F. Pilz
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Algebraic deformation quantization of Leibniz algebras [PDF]
Communications in Algebra, 2018 30 pages. This is the part on deformation quantization from the old version of arXiv:1412.5907 which was split during ...
Alexandre, Charles +3 more
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Leibniz algebras of dimension 3 over finite fields
Доповiдi Нацiональної академiї наук УкраїниThe first thing in the study of all types of algebras is the description of algebras having small dimensions. Unlike the simpler cases of 1- and 2-dimensional Leibniz algebras, the structure of 3-dimensional Leibniz algebras is more complicated.
V.S. Yashchuk
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Calculations on Lie Algebra of the Group of Affine Symplectomorphisms
Advances in Mathematical Physics, 2017 We find the image of the affine symplectic Lie algebra gn from the Leibniz homology HL⁎(gn) to the Lie algebra homology H⁎Lie(gn). The result shows that the image is the exterior algebra ∧⁎(wn) generated by the forms wn=∑i=1n(∂/∂xi∧∂/∂yi).
Zuhier Altawallbeh
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, 2014 Leibniz algebras generated by one element, called cyclic, provide simple and illuminating examples of many basic concepts. It is the purpose of this paper to illustrate this fact.
Bugg, Kristin +4 more
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Leibniz algebras constructed by Witt algebras [PDF]
Linear and Multilinear Algebra, 2018 We describe infinite-dimensional Leibniz algebras whose associated Lie algebra is the Witt algebra and we prove the triviality of low-dimensional Leibniz cohomology groups of the Witt algebra with the coefficients in itself.
L. M. Camacho +2 more
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Entropy as a Metric Generator of Dissipation in Complete Metriplectic Systems
Entropy, 2016 This lecture is a short review on the role entropy plays in those classical dissipative systems whose equations of motion may be expressed via a Leibniz Bracket Algebra (LBA). This means that the time derivative of any physical observable f of the system
Massimo Materassi
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Higher Dimensional Leibniz-Rinehart Algebras
Journal of Mathematical Sciences and ModellingIn this article, we delve into the realm of higher dimensional Leibniz-Rinehart algebras, exploring the intricate structures of Leibniz algebroids and their applications.
Mahmut Koçak, Selim Çetin
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