Results 81 to 90 of about 1,265,981 (327)
A Simple Model of Double Dynamics on Lie Groups [PDF]
, 2019 We study the dynamics of the rigid rotator on the group manifold of SU(2) as an instance of dynamics on Lie groups together with a dual model whose carrier space is the Borel group SB(2,C), the Lie Poisson dual of SU(2). We thus introduce a parent action on the Drinfeldd double of the above mentioned groups, which describes the dynamics of a system ...
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A conjecture of Frobenius and the simple groups of Lie type, II
Journal of Algebra, 1984 [Part I, cf. J. Algebra 96, 391-396 (1985; Zbl 0572.20013).] Let \(G\) be a finite group and suppose \(e\) is a positive integer dividing the order of \(G\). Frobenious conjectured that if the number of elements whose order divides \(e\) equals \(e\), then \(G\) has a normal subgroup of order \(e\). The conjecture has been reduced to the classification
Iiyori, Nobuo, Yamaki, Hiroyoshi
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Development of Aluminum Scandium Alloys for Hydrogen Storage Valves
Advanced Engineering Materials, EarlyView.Different aluminum alloy series and various aluminum‐scandium alloys with differing Sc and Zr levels are evaluated for use in hydrogen storage valve production. The alloys undergo hardness testing, optical microscopy, and tensile strength analysis, with hardening behavior studied under varying conditions.
Francisco García‐Moreno +4 more
wiley +1 more source
Local Second Order Sobolev Regularity for p-Laplacian Equation in Semi-Simple Lie Group
MathematicsIn this paper, we establish a structural inequality of the ∞-subLaplacian ▵0,∞ in a class of the semi-simple Lie group endowed with the horizontal vector fields X1,…,X2n.
Chengwei Yu, Yue Zeng
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Advanced Engineering Materials, EarlyView.This study presents a multimodal characterization method for a prototype metamaterial model structure that features four distinct states of mechanical stiffness and electrical resistivity. Through simulations and experiments, it uncovers insights into the structural behavior, the correlation between changes in electrical resistivity and mechanical ...
Rebecca Kose +3 more
wiley +1 more source
Fusion Systems and Rank $2$ Simple Groups of Lie Type
Forum of Mathematics, SigmaFor any prime p and S a p-group isomorphic to a Sylow p-subgroup of a rank $2$ simple group of Lie type in characteristic p, we determine all saturated fusion systems supported on S up to isomorphism.
Martin van Beek
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Involutive representations of coordinate algebras and quantum spaces
Journal of High Energy Physics, 2017 We show that s u 2 $$ \mathfrak{s}\mathfrak{u}(2) $$ Lie algebras of coordinate operators related to quantum spaces with s u 2 $$ \mathfrak{s}\mathfrak{u}(2) $$ noncommutativity can be conveniently represented by SO(3)-covariant poly-differential ...
Tajron Jurić +2 more
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Representations of Complex Semi-simple Lie Groups and Lie Algebras [PDF]
, 2013 31 pages, LaTeX; to appear in a special volume of "Texts and Readings In Mathematics (TRIM)", Hindustan Book Agency.
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An Integrability Condition for Simple Lie Groups II [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 It is shown that a simple Lie group $G$ ($ \neq {\rm SL}_2$) can be locally characterised by an integrability condition on an $\operatorname{Aut}(\mathfrak{g})$ structure on the tangent bundle, where $\operatorname{Aut}(\mathfrak{g})$ is the automorphism group of the Lie algebra of $G$.
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Advanced Engineering Materials, EarlyView.Cubic Bézier curves are used in the synthesis of novel surface‐based metamaterials with tunable mechanical properties. Surface‐based geometries are 3D printed and tested in compression. The resulting mechanical properties are correlated to changes in the shape of the base curve, with high potential in energy absorption through the adjustment of their ...
Alberto Álvarez‐Trejo +2 more
wiley +1 more source