Results 111 to 120 of about 11,203 (263)

On Characterizing Nilpotent Lie algebras by their Multipliers

open access: yes, 2004
Authors have turned their attentions to special classes of nilpotent Lie algebras such as two-step nilpotent and filiform Lie algebras, in particular filiform Lie algebras are classified up to dimension eleven [8].
Attiogbe, Cyril Efoe
core  

Robust Tests of Forecast Accuracy for Factor‐Augmented Regressions With an Application to the Novel EA‐MD‐QD Dataset

open access: yesJournal of Applied Econometrics, EarlyView.
ABSTRACT We present four novel tests of equal predictive accuracy and encompassing á Pitarakis (2023, 2025) for factor‐augmented regressions. Factors are estimated using cross‐section averages (CAs) of grouped series and our theoretical findings are empirically relevant: asymptotic normality, robustness to an overspecification of the number of factors,
Alessandro Morico, Ovidijus Stauskas
wiley   +1 more source

An efficient deep learning model for brain tumour detection with privacy preservation

open access: yesCAAI Transactions on Intelligence Technology, EarlyView., 2023
Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman   +8 more
wiley   +1 more source

Completeness of quasi-filiform Lie algebras

open access: yes, 2013
It is proved that for any quasi-filiform of non-zero rank the solvable Lie algebra obtained by adjoining a maximal torus of outer derivations is complete.
García Vergnolle, Lucía   +2 more
core   +1 more source

Stable Cuts, NAC‐Colourings and Flexible Realisations of Graphs

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT A (2‐dimensional) realisation of a graph G $G$ is a pair ( G , p ) $(G,p)$, where p $p$ maps the vertices of G $G$ to R 2 ${{\mathbb{R}}}^{2}$. A realisation is flexible if it can be continuously deformed while keeping the edge lengths fixed, and rigid otherwise.
Katie Clinch   +5 more
wiley   +1 more source

Rigorous Electromagnetic Quasinormal‐Mode Method Made Easy for Users

open access: yesLaser &Photonics Reviews, EarlyView.
We present a method that combines numerical techniques with accurate approximations to enable simple and ultrafast computations of the scattered field based on quasinormal modes expansions. The method is made available in the open‐source package MANlite implemented within COMSOL.
Tong Wu, Philippe Lalanne
wiley   +1 more source

Theory of Supercritical Coupling and Generalized Bound States in the Continuum

open access: yesLaser &Photonics Reviews, EarlyView.
We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri   +3 more
wiley   +1 more source

Lie algebra conjugacy

open access: yesElectron. Colloquium Comput. Complex., 2011
We study the problem of matrix Lie algebra conjugacy. Lie algebras arise centrally in areas as diverse as differential equations, particle physics, group theory, and the Mulmuley--Sohoni Geometric Complexity Theory program. A matrix Lie algebra is a set L of matrices such that $A, B\in L$ implies $AB - BA \in L$.
openaire   +3 more sources

Maximal abelian diagonalizable groups and fine gradings on simple Lie algebras

open access: yes, 2015
The oldest and best known grading on a (semisimple) Lie algebra is the root space decomposition with respect to a maximal torus. This is a grading by a free abelian group (the root lattice) and it is \emph{fine} in the sense that it cannot be refined. In
Draper-Fontanals, Cristina
core  

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