Results 71 to 80 of about 545,680 (294)
Between the enhanced power graph and the commuting graph
Journal of Graph Theory, Volume 102, Issue 2, Page 295-303, February 2023., 2023 Abstract The purpose of this note is to define a graph whose vertex set is a finite group G $G$, whose edge set is contained in that of the commuting graph of G $G$ and contains the enhanced power graph of G $G$. We call this graph the deep commuting graph of G $G$.
Peter J. Cameron, Bojan Kuzma
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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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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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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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Bimultiplications and Annihilators of Crossed Modules in Associative Algebras
Journal of New Theory, 2021 In this paper, we present a generalization of the concept of the bimultiplication algebra by defining the bimultiplication of crossed modules in associative algebras.
Ummahan Ege Arslan, Serdar Hürmetli
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Certain functors of nilpotent Lie algebra with the derived subalgebra of dimension two [PDF]
J. Algebra Appl. 19 (2020), no. 1, 2050012, 11 pp, 2017 By considering the nilpotent Lie algebra with the derived subalgebra of dimension $ 2$, we compute some functors include the Schur multiplier, the exterior square and the tensor square of these Lie algebras. We also give the corank of such Lie algebras.
arxiv +1 more source
Sums of squares in octonion algebras [PDF]
Proceedings of the American Mathematical Society, 2005 Sums of squares in composition algebras are investigated using methods from the theory of quadratic forms. For any integerm≥1m\geq 1octonion algebras of level2m2^mand of level2m+12^m+1are constructed.
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Enhancing the Efficiency of Polariton OLEDs in and Beyond the Single‐Excitation Subspace
Advanced Optical Materials, EarlyView.Organic light‐emitting diodes (OLEDs) are transforming lighting with eco‐friendly manufacturing and flexible applications. However, since 75 % of excited states (triplets) are non‐emissive, recent research has focused on triplet harvesting. This work proposes a predictive polariton‐based model, exploring conditions for OLED enhancement and showing that
Olli Siltanen +3 more
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A Relational Semantics for Ockham’s Modalities
Axioms, 2023 This article aims at providing some extension of the modal square of opposition in the light of Ockham’s account of modal operators. Moreover, we set forth some significant remarks on the de re–de dicto distinction and on the modal operator of ...
Davide Falessi, Fabien Schang
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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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