Results 91 to 100 of about 2,410,088 (276)

On nilpotent filiform Lie algebras of dimension eight

International Journal of Mathematics and Mathematical Sciences, 2003
The aim of this paper is to determine both the Zariski constructible set of characteristically nilpotent filiform Lie algebras g of dimension 8 and that of the set of nilpotent filiform Lie algebras whose group of automorphisms consists of unipotent ...
P. Barbari, A. Kobotis
doaj   +1 more source

Some Upper Bounds for the Dimension of the c-Nilpotent Multiplier of a Pair of Lie Algebras

Discussiones Mathematicae - General Algebra and Applications, 2020
The notion of the Schur multiplier of a Lie algebra L was introduced by Batten in 1996. Recently, the first author introduced the concept of the cnilpotent multiplier of a pair of Lie algebras and gave some exact sequences for the c-nilpotent multiplier ...
Arabyani Homayoon, Sadeghifard Mohammad Javad, Sheikh-Mohseni Sedigheh   +2 more
doaj   +1 more source

Rota-Baxter 3-Lie algebras [PDF]

, 2013
In this paper, we introduce the concepts of a Rota-Baxter operator and differential operator with weights on an n-algebra. We then focus on Rota-Baxter 3-Lie algebras and show that they can be derived from Rota-Baxter Lie algebras and pre-Lie algebras ...
R. Bai, Li Guo, Jianqi Li, Yong-Ping Wu
semanticscholar   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +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

Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras [PDF]

, 2013
The aim of this paper is to compare the structure and the cohomology spaces of Lie algebras and induced \(3\)-Lie algebras.
Joakim Arnlind, Abdennour Kitouni, A. Makhlouf, S. Silvestrov   +3 more
semanticscholar   +1 more source

Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning

Advanced Intelligent Discovery, EarlyView.
Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang, Yongqing Zhang, Xinyu Deng, Hyeon Jeong Lee, Delong Zhang   +4 more
wiley   +1 more source

Star-products for Lie-algebraic noncommutative Minkowski space-times

Journal of High Energy Physics
Poisson structures of the Poincaré group can be linked to deformations of the Minkowski space-time, classified some time ago by Zakrewski. Based on this classification, various quantum Minkowski space-times with coordinates Lie algebras and specific ...
Valentine Maris, Filip Požar, Jean-Christophe Wallet   +2 more
doaj   +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

Free Pre-Lie Algebras are Free as Lie Algebras [PDF]

Canadian Mathematical Bulletin, 2010
AbstractWe prove that the -module PreLie is a free Lie algebra in the category of -modules and can therefore be written as the composition of the -module Lie with a new -module X. This implies that free pre-Lie algebras in the category of vector spaces, when considered as Lie algebras, are free on generators that can be described using X.
openaire   +4 more sources