Results 81 to 90 of about 2,499,965 (359)
On squares of representations of compact Lie algebras [PDF]
Journal of Mathematical Physics, 2015 We study how tensor products of representations decompose when restricted from a compact Lie algebra to one of its subalgebras. In particular, we are interested in tensor squares which are tensor products of a representation with itself. We show in a classification-free manner that the sum of multiplicities and the sum of squares of multiplicities in ...
Zeier, R., Zimborás, Zoltán
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Topology in Biological Piezoelectric Materials
Advanced Materials, EarlyView.This review summarizes the topological structures in biological piezoelectric materials, covering morphology evolution, spatial arrangement, and biomimetic strategies. These topologies modulate structure‐property relationships across multiple scales, enabling performance enhancement and multifunctional integration.
Chen Chen +7 more
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A computational approach to analyze the Hadamard quasigroup product
Electronic Research Archive, 2023 Based on the binary product described by any Latin square, the Hadamard quasigroup product is introduced in this paper as a natural generalization of the classical Hadamard product of matrices. The successive iteration of this new product is endowed with
Raúl M. Falcón +5 more
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Advancement in Colloidal Metasurfaces: Approaches for Scalable Photonic Devices
Advanced Materials Interfaces, EarlyView.This perspective explores colloidal metasurfaces composed of plasmonic and emitting nanoparticles assembled by laser interference lithography and template‐assisted self‐assembly methods. Precise design strategies achieve directional emission, low‐threshold lasing, and tunable photonic bandgaps.
Sezer Seçkin +2 more
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The Squaring Operation and the Singer Algebraic Transfer
Vietnam Journal of Mathematics, 2020 38 pages. Theorems 1.3 and 1.8 of this paper have already been announced in Comptes Rendus Mathematique, Volume 354, Issue 9, 2016. The readers can find some papers related to this paper, available online at arXiv:1609.02250, arXiv:1607.01095, arXiv:1502.05569, arXiv:1412.3309, arXiv:1412.1709. arXiv admin note: substantial text overlap with arXiv:1609.
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Advanced Optical Materials, EarlyView.Curcuminoid boron difluoride dyes containing triphenylamine units are prepared and their photophysical and electrochemical properties are investigated. These new light‐emitting dyes are used in organic light‐emitting diodes (OLEDs) emitting at 800 nm with 1% external quantum efficiency, and show low threshold amplified spontaneous emission in thin ...
Anthony D'Aléo +11 more
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On derivations of linear algebras of a special type
Дифференциальная геометрия многообразий фигурIn this work, Lie algebras of differentiation of linear algebra, the operation of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov +2 more
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Coherent Orthogonal Polynomials
, 2012 We discuss as a fundamental characteristic of orthogonal polynomials like the existence of a Lie algebra behind them, can be added to their other relevant aspects.
Cambanis +9 more
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The squaring operation on ${\cal A}$-generators of the Dickson algebra [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2009 AbstractWe study the squaring operation Sq0 on the dual of the minimal -generators of the Dickson algebra. We show that this squaring operation is isomorphic on its image. We also give vanishing results for this operation in some cases. As a consequence, we prove that the Lannes–Zarati homomorphism vanishes (1) on every element in any finite Sq0-family
Hưng, Nguyên H. V., Quỳnh, Võ T. N.
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Advanced Theory and Simulations, EarlyView.This work proposes a surface elasticity‐based nonlocal model for analyzing the vibrations of bi‐directionally graded tapered nanobeam. The results demonstrate that, in absence of surface effect, the increasing value of tapered parameter leads to stiffness‐hardening of the nanobeam. However, the consideration of surface effect changes this trend and the
Chinika Dangi, Susmita Naskar
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