Results 91 to 100 of about 519,562 (333)

A twisted generalization of Lie-Yamaguti algebras [PDF]

arXiv, 2010
A twisted generalization of Lie-Yamaguti algebras, called Hom-Lie-Yamaguti algebras, is defined. Hom-Lie-Yamaguti algebras generalize Hom-Lie triple systems (and susequently ternary Hom-Nambu algebras) and Hom-Lie algebras in the same way as Lie-Yamaguti algebras generalize Lie triple systems and Lie algebras.
arxiv  

Edge of Chaos Theory Unveils the First and Simplest Ever Reported Hodgkin–Huxley Neuristor

Advanced Electronic Materials, EarlyView.
This manuscript presents the first and simplest ever‐reported electrical cell, which leverages one memristor on Edge of Chaos to reproduce the three‐bifurcation cascade, marking the entire life cycle from birth to extinction via All‐to‐None effect of an electrical spike, also referred to as Action Potential, across axon membranes under monotonic ...
Alon Ascoli, Ahmet Samil Demirkol, Ioannis Messaris, Vasilis Ntinas, Dimitris Prousalis, Stefan Slesazeck, Thomas Mikolajick, Fernando Corinto, Michele Bonnin, Marco Gilli, Pier Paolo Civalleri, Ronald Tetzlaff, Leon Chua   +12 more
wiley   +1 more source

Universal Enveloping Algebras of Lie Antialgebras

, 2010
Lie antialgebras is a class of supercommutative algebras recently appeared in symplectic geometry. We define the notion of enveloping algebra of a Lie antialgebra and study its properties.
Leidwanger, Séverine, Morier-Genoud, Sophie   +1 more
core   +1 more source

Spintronic Memtransistor Leaky Integrate and Fire Neuron for Spiking Neural Networks

Advanced Electronic Materials, EarlyView.
Spintronic memtransistor neurons based on domain walls enable energy‐efficient, field‐gated, and current‐controlled LIF functionality for neuromorphic computing, as demonstrated. When integrated into spiking neural network architectures, these devices achieve >96% pattern recognition accuracy, demonstrating high performance, scalability, and mem ...
Aijaz H. Lone, Meng Tang, Daniel N. Rahimi, Xuecui Zou, Dongxing Zheng, Hossein Fariborzi, Xixiang Zhang, Gianluca Setti   +7 more
wiley   +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  

A class of Lie algebras who contains a class of Kac-Moody algebras [PDF]

arXiv, 2021
The theory of standard pentads is the theory aims to construct a graded Lie algebra whose local part consists of a given Lie algebra and its representation. In other words, using standard pentads, we can embed given Lie algebra and its representation into a larger graded Lie algebra. As special cases of Lie algebras associated with standard pentads, we
arxiv  

Synthesis of heat‐integrated thermally coupled nonsharp distillation using self‐adaptive spherical search

AIChE Journal, EarlyView.
Abstract Although thermally coupled distillation (TCD) exhibits strong energy efficiency, the possibility of utility cost savings remains debatable. TCD designs that do not consider vapor transport can underestimate costs, making section rearrangement crucial to find more operable configurations.
Anqing Wang, Ruixuan Ying, Yasuhiro Fukushima   +2 more
wiley   +1 more source

Cohomology of moduli spaces of Del Pezzo surfaces

Mathematische Nachrichten, Volume 296, Issue 1, Page 80-101, January 2023., 2023
Abstract We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.
Olof Bergvall, Frank Gounelas
wiley   +1 more source

Isomorphism of Intransitive Linear Lie Equations

Symmetry, Integrability and Geometry: Methods and Applications, 2009
We show that formal isomorphism of intransitive linear Lie equations along transversal to the orbits can be extended to neighborhoods of these transversal. In analytic cases, the word formal is dropped from theorems.
Jose Miguel Martins Veloso
doaj   +1 more source

An elementary approach to the model structure on DG-Lie algebras [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2023
This paper contains an elementary proof of the existence of the classical model structure on the category of unbounded DG-Lie algebras over a field of characteristic zero, with an emphasis on the properties of free and semifree extensions, which are ...
Emma Lepri
doaj