Results 111 to 120 of about 1,803,467 (337)
Nottingham Lie algebras with diamonds of finite and infinite type
We consider a class of infinite-dimensional, modular, graded Lie algebras, which includes the graded Lie algebra associated to the Nottingham group with respect to its lower central series.
Avitabile, Marina, Mattarei, Sandro
core
Disjointness of a Simple Matrix Lie Group and Its Lie Algebra
Let $G$ be a connected closed subgroup of $\mathrm{GL}_n(\mathbb{C})$ which is simple as a Lie group and which acts irreducibly on $\mathbb{C}^n$. Regarding both $G$ and its Lie algebra $\mathfrak{g}$ as subsets of $M_n(\mathbb{C})$, we have $G\cap \mathfrak{g}\neq\emptyset$ if and only if $G$ is a classical group and $\mathbb{C}^n$ is a minuscule ...
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In this study, the unique role of the unusual lone‐pair‐π conjugation mechanism in poly(1,4‐anthraquinone) (P14AQ) is explored as an organic electrode material. Unlike traditional π‐π interactions, P14AQ's conjugation involves lone pairs of oxygen atoms interacting with the π cloud of adjacent units, enabling stable charge transport even with minimal π‐
Xiaotong Zhang, Piotr de Silva
wiley +1 more source
In this study, the interplay of dipolar dynamics and ionic charge transport in MOF compounds is investigated. Synthesizing the novel structure CFA‐25 with integrated freely rotating dipolar groups, local and macroscopic effects, including interactions with Cs cations are explored.
Ralph Freund+6 more
wiley +1 more source
On the nilpotent complex of simple groups of Lie type
Let \(G\) be a finite group and \(t(G)\) be the number of connected components of the prime graph of \(G\), and \(Nl(G)\) be the partially ordered set of nilpotent subgroups of \(G\). In her previous paper [Commun. Algebra 23, No. 5, 1825-1836 (1995; Zbl 0831.20021)], the authoress proved that \(Nl(G)\) is not connected if and only if \(t(G)>1\) and ...
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This study reveals that higher shell S coordination can effectively modulate the spin state of FeN4 site via long‐range electronic interactions, giving rise to the oriented generation of singlet oxygen from peroxymonosulfate activation. Abstract Precise manipulation of coordination structure of single‐atom sites and establishment of schematic ...
Liang Zhang+8 more
wiley +1 more source
Two elements generations on semi-simple Lie groups [PDF]
Masatake Kuranishi
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Achieving Large and Anisotropic Spin‐Mediated Thermal Transport in Textured Quantum Magnets
An advanced solvent‐cast cold pressing method is developed to synthesize highly textured quantum magnets. By aligning spin chains in Ca2CuO3 perpendicular to the pressing direction, a spin‐mediated thermal conductivity of 10 ± 1 W m⁻¹ K⁻¹ is achieved, the highest reported for polycrystalline quantum materials.
Shucheng Guo+6 more
wiley +1 more source
Estudiamos la K-teoría para las álgebras de todas las funciones continuas sobre ciertos espacios homogeneos, principalmente en los grupos de Lie conexos semi- simples y subgrupos discretos .
Takahiro Sudo
doaj
The Existence of Triple Factorizations for Sporadic Groups of Rank 3
A finite group G with proper subgroups A and B has triple factorization G = ABA if every element g of G can be represented as g = aba0 , where a and a 0 are from A and b is from B.
L. S. Kazarin+2 more
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