Results 51 to 60 of about 522,705 (279)

Hom-structures on semi-simple Lie algebras

Open Mathematics, 2015
A Hom-structure on a Lie algebra (g,[,]) is a linear map σ W g σ g which satisfies the Hom-Jacobi identity: [σ(x), [y,z]] + [σ(y), [z,x]] + [σ(z),[x,y]] = 0 for all x; y; z ∈ g. A Hom-structure is referred to as multiplicative if it is also a Lie algebra
Xie Wenjuan, Jin Quanqin, Liu Wende
doaj   +1 more source

A Monster Lie Algebra?

Advances in Mathematics, 1984
In 1979, \textit{J. H. Conway} and \textit{S. P. Norton} [Bull. Lond. Math. Soc. 11, 308--339 (1979; Zbl 0424.20010)] conjectured that the existence of the Fischer-Griess ''monster'' or ''friendly giant'' finite simple group \(M\) might be explained by some infinite-dimensional Lie algebra \(L\).
Borcherds, R.E, Conway, J.H, Queen, L, Sloane, N.J.A   +3 more
openaire   +1 more source

Post-Lie algebra structures for nilpotent Lie algebras [PDF]

International Journal of Algebra and Computation, 2018
We study post-Lie algebra structures on [Formula: see text] for nilpotent Lie algebras. First, we show that if [Formula: see text] is nilpotent such that [Formula: see text], then also [Formula: see text] must be nilpotent, of bounded class. For post-Lie algebra structures [Formula: see text] on pairs of [Formula: see text]-step nilpotent Lie algebras
Dietrich Burde, Christof Ender, Wolfgang Alexander Moens   +2 more
openaire   +3 more sources

A State‐Adaptive Koopman Control Framework for Real‐Time Deformable Tool Manipulation in Robotic Environmental Swabbing

Advanced Robotics Research, EarlyView.
This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi, Amirreza Davar, Dongyi Wang   +2 more
wiley   +1 more source

Physics‐Constrained Constitutive Learning of Rate‐Limiting Timescales for Efficient Hydrogen‐Based Direct Reduction for Green Steel Making

Advanced Science, EarlyView.
A conversion‐resolved constitutive framework is developed for the hydrogen‐based direct reduction of iron oxide pellets. Effective reaction and transport timescales are inferred directly from measured trajectories and mapped against operating conditions, pellet architecture, and composition. The analysis reveals how late‐stage transport control emerges
Anurag Bajpai, Barak Ratzker, Pasquale Cavaliere, Dierk Raabe   +3 more
wiley   +1 more source

Algebraic loop structures on algebra comultiplications

Open Mathematics, 2019
In this paper, we study the algebraic loop structures on the set of Lie algebra comultiplications. More specifically, we investigate the fundamental concepts of algebraic loop structures and the set of Lie algebra comultiplications which have inversive ...
Lee Dae-Woong
doaj   +1 more source

Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies

Advanced Science, EarlyView.
A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang, Pengyi Feng, Fei Han, Weijin Chen, Zhongwei Jin, Jincheng Ni, Yuanjie Yang, Anxue Zhang, Guy A. E. Vandenbosch, Niels Verellen, Ewald Janssens, Jiafu Wang, Benfeng Bai, Cheng‐Wei Qiu, Xuezhi Zheng   +14 more
wiley   +1 more source

Nonassociative Algebras: A Framework for Differential Geometry

International Journal of Mathematics and Mathematical Sciences, 2003
A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection.
Lucian M. Ionescu
doaj   +1 more source

Algebraic Lie Algebra Bundles and Derivations of Lie Algebra Bundles

International Electronic Journal of Algebra
In this paper, we define algebraic Lie algebra bundles, discuss some results on algebraic Lie algebra bundles and derivations of Lie algebra bundles. Some results involving inner derivations and central derivations of Lie algebra bundles are obtained.
MONİCA, M. V., RAJENDRA, R
openaire   +2 more sources

Tau Aggregate Imaging and Transcriptomics of Alzheimer's Disease Brain at Different Stages of Disease

Advanced Science, EarlyView.
The protein aggregates and gene expression in the middle temporal gyrus (MTG) and somatosensory cortex (SOM) of the postmortem brains of 13 Alzheimer's disease patients were studied in detail, revealing that small hyperphosphorylated tau aggregates increase with Braak stage driven by microglial inflammation.
Elizabeth A. English, Dorothea Böken, Matthew W. Cotton, Matthew R. Cheetham, Johanna S. Jackson, Georg Meisl, John S. H. Danial, Paul M. Matthews, Nurun N. Fancy, David Klenerman   +9 more
wiley   +1 more source