Results 71 to 80 of about 483,435 (318)
On the Geometry of Cotangent Bundles of Lie Groups [PDF]
arXiv, 2015 Lie groups of automorphisms of cotangent bundles of Lie groups are completely characterized and interesting results are obtained. We give prominence to the fact that the Lie groups of automorphisms of cotangent bundles of Lie groups are super symmetric Lie groups. In the cases of orthogonal Lie lgebras, semi-simple Lie algebras and compact Lie algebras
arxiv
Hydrogel‐Based Capacitive Sensor Model for Ammonium Monitoring in Aquaculture
Advanced Engineering Materials, EarlyView.Traditional techniques for monitoring aquaculture water quality, particularly ammonium levels, harm fish. This work presents a novel capacitive sensor with an ionic hydrogel transducer to monitor ammonium concentration in real time based on the ammonium‐induced hydrogel dissociation and osmotic pressure. Monitoring aquaculture water quality, especially
Mohammad Mirzaee +3 more
wiley +1 more source
arXiv, 1997 We introduce braided Lie bialgebras as the infinitesimal version of braided groups. They are Lie algebras and Lie coalgebras with the coboundary of the Lie cobracket an infinitesimal braiding. We provide theorems of transmutation, Lie biproduct, bosonisation and double-bosonisation relating braided Lie bialgebras to usual Lie bialgebras.
arxiv
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 +5 more
wiley +1 more source
Generalizing Lusztig's total positivity [PDF]
arXiv, 2022 We introduce the notion of $\Theta$-positivity in real simple Lie groups. This notion at the same time generalizes Lusztig's total positivity in split real Lie groups and invariant orders in Lie groups of Hermitian type. We show that there are four families of Lie groups which admit $\Theta$-positive structures, and investigate basic properties of ...
arxiv
Beyond Order: Perspectives on Leveraging Machine Learning for Disordered Materials
Advanced Engineering Materials, EarlyView.This article explores how machine learning (ML) revolutionizes the study and design of disordered materials by uncovering hidden patterns, predicting properties, and optimizing multiscale structures. It highlights key advancements, including generative models, graph neural networks, and hybrid ML‐physics methods, addressing challenges like data ...
Hamidreza Yazdani Sarvestani +4 more
wiley +1 more source
η and λ deformations as E-models
Nuclear Physics B, 2015 We show that the so-called λ deformed σ-model as well as the η deformed one belong to a class of the E-models introduced in the context of the Poisson–Lie-T-duality. The λ and η theories differ solely by the choice of the Drinfeld double; for the λ model
Ctirad Klimčík
doaj +1 more source
Derivation double Lie algebras [PDF]
arXiv, 2014 We study classical R-matrices D for Lie algebras L such that D is also a derivation of L. This yields derivation double Lie algebras (L,D). The motivation comes from recent work on post-Lie algebra structures on pairs of Lie algebras arising in the study of nil-affine actions of Lie groups. We prove that there are no nontrivial simple derivation double
arxiv
Low‐Activation Compositionally Complex Alloys for Advanced Nuclear Applications—A Review
Advanced Engineering Materials, EarlyView.Low‐activation compositionally complex alloys (LACCAs) are advanced metallic materials primarily composed of low‐activation elements, offering advantages such as rapid compliance with operational standards and safe recyclability. This review highlights their potential for extreme high‐temperature irradiation environments as structural materials for ...
Yangfan Wang +8 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.Controlling the size and distribution of dispersoids is essential for optimizing the performance of oxide‐dispersion‐strengthened steels. This study focuses on nanoparticle dispersion and agglomeration during laser additive manufacturing of Fe20Cr alloy reinforced with ZrO 2 nanoparticles. Utilizing multiphysics phase‐field simulations and nanoparticle
Somnath Bharech +6 more
wiley +1 more source