Non-associative local Lie groups.
Olver, Peter J. (1996)
Journal of Lie Theory
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Olver, Peter J. (1996)
Journal of Lie Theory
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Lin Chen, Lizhong Huang, Fangyan Lu (2015)
Studia Mathematica
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Let X and Y be complex Banach spaces of dimension greater than 2. We show that every 2-local Lie isomorphism ϕ of B(X) onto B(Y) has the form ϕ = φ + τ, where φ is an isomorphism or the negative of an anti-isomorphism of B(X) onto B(Y), and τ is a homogeneous map from B(X) into ℂI vanishing on all finite sums of commutators.
A.S. Dzhumadil'daev, N.A. Ismailov, A.T. Orazgaliyev (2020)
Communications in Mathematics
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We give a criterion for Leibniz elements in a free diassociative algebra. In the diassociative case one can consider two versions of Lie commutators. We give criterions for elements of diassociative algebras to be Lie under these commutators. One of them corresponds to Leibniz elements. It generalizes the Dynkin-Specht-Wever criterion for Lie elements in a free associative algebra.
Christopher Skinner (2006)
Acta Arithmetica
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Gordeziani, N. (2000)
Bulletin of TICMI
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Janusz Charatonik, M. Kalota (1983)
Fundamenta Mathematicae
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Takashi Suzuki (2013)
Bulletin de la Société Mathématique de France
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We give a new approach for the local class field theory of Serre and Hazewinkel. We also discuss two-dimensional local class field theory in this framework.
Sidney A. Morris (1976)
Colloquium Mathematicae
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Benalili, Mohammed (2005)
Lobachevskii Journal of Mathematics
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W. A. Kirk (1971)
Colloquium Mathematicae
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Josef Janyška (2018)
Czechoslovak Mathematical Journal
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Starting by the famous paper by Kirillov, local Lie algebras of functions over smooth manifolds were studied very intensively by mathematicians and physicists. In the present paper we study local Lie algebras of pairs of functions which generate infinitesimal symmetries of almost-cosymplectic-contact structures of odd dimensional manifolds.
Mauro Fabrizio, Giorgio Gentili (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We will formulate a macroscopic theory of Superfluidity, using a particular constitutive equation of differential form which we will demonstrate to be equivalent to a non-local relation between the stress and the density.
M. Mršević (1979)
Matematički Vesnik
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Deǧirmenci, Nedim, Özdemir, Nülifer (2005)
APPS. Applied Sciences
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Katok, A., Spatzier, R.J. (1996)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Mauro Fabrizio, Giorgio Gentili (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
We will formulate a macroscopic theory of Superfluidity, using a particular constitutive equation of differential form which we will demonstrate to be equivalent to a non-local relation between the stress and the density.