Results 61 to 70 of about 455 (185)
Nilpotent Lie and Leibniz Algebras [PDF]
Communications in Algebra, 2014 We extend results on finite dimensional nilpotent Lie algebras to Leibniz algebras and counterexamples to others are found. One generator algebras are used in these examples and are investigated further.
Ray, Chelsie Batten +5 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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Characterizing Inner Automorphisms and Realizing Outer Automorphisms [PDF]
Advances in Group Theory and ApplicationsWe give elementary proofs of the following two theorems on automorphisms of a finite group G: (1) An automorphism of G is inner if and only if it extends to an automorphism of every finite group containing G.
Benjamin Sambale
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Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
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Versal Deformations of Leibniz Algebras [PDF]
Journal of K-Theory, 2008 AbstractIn this work we consider deformations of Leibniz algebras over a field of characteristic zero. The main problem in deformation theory is to describe all non-equivalent deformations of a given object. We give a method to solve this problem completely, namely work out a construction of a versal deformation for a given Leibniz algebra, which ...
Fialowski, Alice +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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Anomalous Spin‐Optical Helical Effect in Ti‐Based Kagome Metal
Advanced Materials, Volume 38, Issue 21, 13 April 2026.The kagome lattice hosts diverse correlated quantum states, including elusive loop currents. We report spin‐handedness selective signals in CsTi3Bi5, termed the anomalous spin‐optical helical effect, surpassing conventional spin responses. Arising from light helicity coupled to spin‐orbital correlations, this effect provides a sensitive, indirect probe
Federico Mazzola +34 more
wiley +1 more source
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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Efficient Gaussian Simulations of Fermionic Open Quantum Systems
Advanced Quantum Technologies, Volume 9, Issue 4, April 2026.Building upon Bravyi's fundamental theoretical framework, efficient classical simulation methods are reviewed and further developed for general fermionic Gaussian processes. The emphasis remains on a unified approach applicable to generic fermionic Gaussian operations.
Yinan Fang +3 more
wiley +1 more source
On Engel's Theorem for Leibniz Algebras [PDF]
Communications in Algebra, 2012 2 pages.
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