Results 51 to 60 of about 168,726 (280)
The classification of three-dimensional Lie algebras on complex field
Дифференциальная геометрия многообразий фигур, 2021 In this paper, we study the classification of three-dimensional Lie algebras over a field of complex numbers up to isomorphism. The proposed classification is based on the consideration of objects invariant with respect to isomorphism, namely such ...
E.R. Shamardina
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Dimensions of the derivation algebras of Lie algebras
Hiroshima Mathematical Journal, 1967 Let \(L\) be a Lie algebra over a field of arbitrary characteristic. In this paper the author gives several estimates of \(\dim D(L)\), the dimension of the derivation algebra of \(L\). One of the main steps used in this procedure is a method of con-
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THE LEVI DECOMPOSITION OF THE LIE ALGEBRA M_2 (R)⋊gl_2 (R)
BarekengThe idea of the Lie algebra is studied in this research. The decomposition between Levi sub-algebra and the radical can be used to define the finite dimensional Lie algebra. The Levi decomposition is the name for this type of decomposition. The goal of
Edi Kurniadi, Henti Henti, Ema Carnia
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The Lie Group in Infinite Dimension
Abstract and Applied Analysis, 2011 A Lie group acting on finite-dimensional space is generated by its infinitesimal transformations and conversely, any Lie algebra of vector fields in finite dimension generates a Lie group (the first fundamental theorem).
V. Tryhuk, V. Chrastinová, O. Dlouhý
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Some nilpotent Lie algebras of even dimension [PDF]
Bulletin of the Australian Mathematical Society, 1992 For each even dimension greater than or equal to 8, an infinite family of 3-step nilpotent Lie algebras over ℂ is constructed. In dimension m, the family contains isomorphism classes parameterised locally by approximately m3/48 essential parameters.One particular case is studied further to get some global information about the variety of all nilpotent ...
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FAITHFUL REPRESENTATIONS OF MINIMAL DIMENSION OF CURRENT HEISENBERG LIE ALGEBRAS [PDF]
International Journal of Mathematics, 2009 Given a Lie algebra 𝔤 over a field of characteristic zero k, let μ(𝔤) = min{dim π : π is a faithful representation of 𝔤}. Let 𝔥m be the Heisenberg Lie algebra of dimension 2m + 1 over k and let k [t] be the polynomial algebra in one variable. Given m ∈ ℕ and p ∈ k [t], let 𝔥m, p = 𝔥m ⊗ k [t]/(p) be the current Lie algebra associated to 𝔥m and k [t]/(p)
Cagliero, Leandro, Rojas, Nadina
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Anomalous Spin‐Optical Helical Effect in Ti‐Based Kagome Metal
Advanced Materials, EarlyView.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
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
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Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models
Journal of High Energy Physics, 2021 We consider the problem of the decomposition of the Rényi entanglement entropies in theories with a non-abelian symmetry by doing a thorough analysis of Wess-Zumino-Witten (WZW) models.
Pasquale Calabrese +2 more
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Lifshitz symmetry: Lie algebras, spacetimes and particles
SciPost Physics, 2023 We study and classify Lie algebras, homogeneous spacetimes and coadjoint orbits (``particles'') of Lie groups generated by spatial rotations, temporal and spatial translations and an additional scalar generator.
José Figueroa-O'Farrill, Ross Grassie, Stefan Prohazka
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