Results 61 to 70 of about 321 (215)

POINCARÉ NORMAL FORMS AND SIMPLE COMPACT LIE GROUPS [PDF]

International Journal of Modern Physics A, 2002
We classify the possible behavior of Poincaré–Dulac normal forms for dynamical systems in Rn with nonvanishing linear part and which are equivariant under (the fundamental representation of) all the simple compact Lie algebras and thus the corresponding simple compact Lie groups. The "renormalized forms" (in the sense of Ref.
openaire   +3 more sources

Developing and Evaluating a Laboratory‐Based Frailty Index (FI‐Lab) for the Prediction of Long‐Term Health Outcomes in Systemic Lupus Erythematosus

Arthritis Care &Research, Accepted Article.
Objective We aimed to construct and evaluate the first laboratory‐based frailty index (FI‐Lab) for predicting adverse outcomes in systemic lupus erythematosus (SLE) and to compare its predictive ability to that of an existing clinical frailty index (FI).
Grace Burns, Samuel D. Searle, Alexandra Legge   +2 more
wiley   +1 more source

Local Second Order Sobolev Regularity for p-Laplacian Equation in Semi-Simple Lie Group

Mathematics
In 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
doaj   +1 more source

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, Timothé Poulain, Jean-Christophe Wallet   +2 more
doaj   +1 more source

Assessing the sensitivity and the clinical impact of the 2023 ACR/EULAR classification criteria in Obstetric Antiphospholid Syndrome: findings from a multicenter Italian cohort with a long‐term follow‐up

Arthritis Care &Research, Accepted Article.
Objective To evaluate the sensitivity of the 2023 ACR/EULAR classification criteria for antiphospholipid syndrome (APS) in a real‐world cohort of women diagnosed with primary obstetric APS (oAPS), and to assess their ability to identify patients at risk of future pregnancy complications.
Francesca Ruffilli, Cecilia Nalli, Francesca Crisafulli, Carlo Garaffoni, Marcello Govoni, Giulia Voltarel, Alba C. Pozzi, Beatrice Maranini, Ettore Silvagni, Alessandra Bortoluzzi, Angela Tincani   +10 more
wiley   +1 more source

Fusion Systems and Rank $2$ Simple Groups of Lie Type

Forum of Mathematics, Sigma
For 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
doaj   +1 more source

A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller

International Journal of Adaptive Control and Signal Processing, EarlyView.
Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg, Paulo Jefferson Dias de Oliveira Evald, Shivam Chaturvedi, Hilton Abilio Gründling, Rodrigo Varella Tambara, Wencong Su   +5 more
wiley   +1 more source

Poisson-Lie duals of the η deformed symmetric space sigma model

Journal of High Energy Physics, 2017
Poisson-Lie dualising the η deformation of the G/H symmetric space sigma model with respect to the simple Lie group G is conjectured to give an analytic continuation of the associated λ deformed model.
Ben Hoare, Fiona K. Seibold
doaj   +1 more source

Revisiting Stability Criteria in Ball‐Milled High‐Entropy Alloys: Do Hume–Rothery and Thermodynamic Rules Equally Apply?

Advanced Engineering Materials, Volume 27, Issue 6, March 2025.
The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez, Alejandro F. Manchón‐Gordón, Antonio Vidal‐Crespo, Rafael Caballero‐Flores, Jhon J. Ipus, Clara F. Conde   +5 more
wiley   +1 more source

An extention of Nomizu’s Theorem –A user’s guide–

Complex Manifolds, 2016
For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ\G, C) of the solvmanifold Γ\G.
Kasuya Hisashi
doaj   +1 more source