Results 61 to 70 of about 124,317 (285)

SIMPLE LIE ALGEBRAS WHICH GENERALIZE KPS`S LIE ALGEBRAS [PDF]

Communications of the Korean Mathematical Society, 2002
Summary: We generalize the Lie algebras of KPS's in [Commun. Algebra 22, No. 10, 3755--3774 (1994; Zbl 0813.17009)], which have no toral elements. However our generalized Lie algebras have toralelements. Moreover our Lie algebras are not isomorphic to the Witt algebra \(W(n)\) with a toral element.
Nam, Ki-Bong, Wang, Moon-Ok
openaire   +2 more sources

Distinct Biotypes of Visual Perception in Major Depressive Disorder

Advanced Science, EarlyView.
In a discover dataset (272 acute MDD patients), this work identifies a novel depression biotype characterized by impaired visual motion perception, using machine learning clustering. An independent dataset confirms the robustness of this biotype through cross‐validation and demonstrates its generalizability.
Zhuoran Cai, Xi‐Wen Hu, Yuyang Li, Zheng Lin, Yongjie Li, Yong‐Chun Cai, Tao Xu, Ke Jia, Jin‐Fang Han, Zhong‐Lin Tan, Dezhong Yao, Xue Mei Song, Sugai Liang, Georg Northoff   +13 more
wiley   +1 more source

Infinite-Dimensional Lie Algebras of Generalized Block Type [PDF]

, 1999
This paper investigates a class of infinite-dimensional Lie algebras over a field of characteristic 0 which are called here Lie algebras of generalized Block type, and which generalize a class of Lie algebras originally defined by Richard Block.
Osborn, J. Marshall, Zhao, Kaiming
core   +1 more source

On n-ary Hom-Nambu and Hom-Nambu-Lie algebras

, 2010
It is observed that the category of n-ary Hom-Nambu(-Lie) algebras is closed under twisting by self-weak morphisms. Constructions of ternary Hom-Nambu algebras from Hom-associative algebras, Hom-Lie algebras, ternary totally Hom-associative algebras, and
Albert, Ammar, Arnlind, Ataguema, Awata, Baez, Bagger, Baxter, Baxter, Bertram, Bruck, Chu, Curtright, Donald Yau, Filippov, Günaydin, Günaydin, Günaydin, Hartwig, Jacobson, Jacobson, Jordan, Kantor, Kaup, Kaup, Kerdman, Koecher, Kuz’min, Lister, Lister, Loos, Loos, Loos, Makhlouf, Makhlouf, Makhlouf, Makhlouf, Mal’tsev, Meyberg, Nagy, Nambu, Neher, Ohnuki, Okubo, Pozhidaev, Sabinin, Sagle, Schafer, Tits, Yang, Yau, Yau, Yau, Yau, Yau, Yau, Yau, Yau, Yau, Yau, Yau, Yau   +61 more
core   +1 more source

Low‐Power Control Of Resistance Switching Transitions in First‐Order Memristors

Advanced Electronic Materials, EarlyView.
Joule losses are a serious concern in modern integrated circuit design. In this regard, minimizing the energy necessary for programming memristors should be handled with care. This manuscript presents an optimal control framework, allowing to derive energy‐efficient programming voltage protocols for resistance switching devices. Following this approach,
Valeriy A. Slipko, Alon Ascoli, Fernando Corinto, Yuriy V. Pershin   +3 more
wiley   +1 more source

Stability of the Jensen-Type Functional Equation in C∗-Algebras: A Fixed Point Approach

Abstract and Applied Analysis, 2009
Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and also of derivations on C∗-algebras and Lie C∗-algebras for the Jensen-type functional equation f((x+y)/2)+f((x−y)/2)=f(x).
Choonkil Park, John Michael Rassias
doaj   +1 more source

Some properties of Camina and $n$-Baer Lie algebras [PDF]

Journal of Mahani Mathematical Research
Let $I$ be a non-zero proper ideal of a Lie algebra $L$. Then $(L, I)$ is called a Camina pair if $I \subseteq [x,L]$, for all $x \in L\setminus I$. Also, $L$ is called a Camina Lie algebra if $(L, L^2)$ is a Camina pair. We first give some properties of
Maryam Ghezelsoflo, Mohammad Reza Moghaddam, Mohammad Amin Rostamyari, Somayeh Saffarnia   +3 more
doaj   +1 more source

An atavistic Lie algebra [PDF]

Physics Letters B, 2006
An infinite-dimensional Lie Algebra is proposed which includes, in its subalgebras and limits, most Lie Algebras routinely utilized in physics. It relies on the finite oscillator Lie group, and appears applicable to twisted noncommutative QFT and CFT.
Fairlie, D. B., Zachos, C. K.
openaire   +4 more sources

Capacitive versus Faradaic Microelectrodes for Extracellular Stimulation: A Fully Coupled FEM–Hodgkin–Huxley Study of Thresholds and Current Redistribution

Advanced Electronic Materials, EarlyView.
A fully coupled FEM–HH model shows that ideally capacitive microelectrodes can achieve lower charge‐density thresholds than Faradaic contacts under current‐controlled stimulation. The advantage stems from the dynamics of surface current density on capacitive interfaces, which redirects current beneath adherent neurons.
Aleksandar Opančar, Eric Daniel Głowacki, Vedran Đerek   +2 more
wiley   +1 more source

On Deformations and Contractions of Lie Algebras

Symmetry, Integrability and Geometry: Methods and Applications, 2006
In this contributed presentation, we discuss and compare the mutually opposite procedures of deformations and contractions of Lie algebras. We suggest that with appropriate combinations of both procedures one may construct new Lie algebras.
Marc de Montigny, Alice Fialowski
doaj