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"Statistics 103" for Multitarget Tracking. [PDF]
Sensors (Basel), 2019 Mahler R.
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Noise and Dissipation on Coadjoint Orbits. [PDF]
J Nonlinear Sci, 2018 Arnaudon A, De Castro AL, Holm DD.
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Structured Dynamics in the Algorithmic Agent. [PDF]
Entropy (Basel)Ruffini G, Castaldo F, Vohryzek J.
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Colombeau products of distributions. [PDF]
Springerplus, 2016 Miteva M +2 more
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The Port-Hamiltonian Structure of Continuum Mechanics. [PDF]
J Nonlinear SciRashad R, Stramigioli S.
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Mathematical Notes, 2021
For a class of algebras \(\mathcal{A}\), denote by \(\mathcal{A}_1\) the class of algebras in which every singly generated algebra belongs to the class \(\mathcal{A}\). We similarly define \(\mathcal{A}_2\) as the class of algebras in which every two-generated algebra belongs to the class \(\mathcal{A}\).
Ismailov, N. A., Dzhumadil'daev, A. S.
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For a class of algebras \(\mathcal{A}\), denote by \(\mathcal{A}_1\) the class of algebras in which every singly generated algebra belongs to the class \(\mathcal{A}\). We similarly define \(\mathcal{A}_2\) as the class of algebras in which every two-generated algebra belongs to the class \(\mathcal{A}\).
Ismailov, N. A., Dzhumadil'daev, A. S.
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Forum Mathematicum, 2002
The paper provides foundational material for the construction of free Leibniz \(n\)-algebras and an interpretation of Leibniz \(n\)-algebra cohomology in terms of Quillen cohomology. Motivated by generalizations of Lie algebra structures to settings with \(n\)-ary operations, the authors define a Leibniz \(n\)-algebra to be a vector space \(\mathcal{L}\
Casas, J. M. +2 more
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The paper provides foundational material for the construction of free Leibniz \(n\)-algebras and an interpretation of Leibniz \(n\)-algebra cohomology in terms of Quillen cohomology. Motivated by generalizations of Lie algebra structures to settings with \(n\)-ary operations, the authors define a Leibniz \(n\)-algebra to be a vector space \(\mathcal{L}\
Casas, J. M. +2 more
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Cohomology of Leibniz Algebras
Jahresbericht der Deutschen Mathematiker-Vereinigung, 2023The paper under review is a survey of recent results on the cohomology of Leibniz algebras which are due to the author and the reviewer [J. Algebra 569, 276--317 (2021; Zbl 1465.17006); Indag. Math., New Ser. 35, No. 1, 87--113 (2024; Zbl 1543.17003)].
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Leibniz algebras in characteristic
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2001The paper under review presents a definition of a restricted Leibniz algebra \(Q\) in characteristic \(p\), and then presents a condition for the non-vanishing of the Leibniz cohomology of \(Q\). In particular, let \(k\) be an algebraically closed field of characteristic \(p > 0\), and let \(Q\) be a (left) Leibniz algebra over \(k\).
Dzhumadil'daev, Askar S. +1 more
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From Leibniz Algebras to Lie 2-algebras
Algebras and Representation Theory, 2015The authors construct a Lie 2-algebra associated to every Leibniz algebra via the skew-symmetrization.
Sheng, Yunhe, Liu, Zhangju
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