Results 81 to 90 of about 541 (254)

Homomorphisms of Lie Algebras of Algebraic Groups and Analytic Groups

, 1995
Let be a Lie algebra homomorphism from the Lie algebra of G to the Lie algebra of H in the following cases: (i) G and H are irreducible algebraic groups over an algebraically closed field of characteristic 0, or (ii) G and H are linear complex analytic ...
Nazih Nahlus
core   +1 more source

Initial State Privacy of Nonlinear Systems on Riemannian Manifolds

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley   +1 more source

Machine learning‐driven advances in carbon‐based quantum dots: Opportunities accompanied by challenges

Responsive Materials, EarlyView.
Machine learning provides a unifying framework to connect structure, fluorescence properties, and applications of carbon‐based quantum dots. This review highlights how data‐driven strategies enable fluorescence regulation, reveal underlying mechanisms, and accelerate the rational design of functional carbon dots.
Liangfeng Chen, Siwei Yang, Xiangqian Cui, Ziheng Liu, Hang Wang, Yongqiang Li, Peng He, Miao Wang, Guqiao Ding   +8 more
wiley   +1 more source

On density of polynomials in algebra of holomorphic functions of exponential type on linear Lie group

Ufa Mathematical Journal
The question of the density of the algebra of polynomials (regular functions) in the algebra of holomorphic functions of exponential type on a complex Lie group arose in the study of duality for Hopf algebras of holomorphic functions. It was shown by the author in [J .
openaire   +2 more sources

The 2-group of linear auto-equivalences of an abelian category and its Lie 2-algebra

, 2009
For any abelian category \calC satsifying (AB5) over a separated, quasi-compact scheme S, we construct a stack of 2-groups \GL(\calC) over the flat site of S. We will give a concrete description of \GL(\calC) when \calC is the category of quasi-coherent sheaves on a separated, quasi-compact scheme X over S. We will show that the tangent space \gl(\calC)
openaire   +2 more sources

Spin Representations of the q-Poincare Algebra [PDF]

, 2001
In der Quantenmechanik können freie Elementarteilchen durch irreduzible Darstellungen der Poincare-Algebra beschrieben werden. Im Rahmen der Darstellungtheorie der q-deformierten Poincaré-Algebra untersucht diese Arbeit den Spin von Teilchen auf einer ...
Blohmann, Christian
core  

Isotopisms of nilpotent Leibniz algebras and Lie racks

, 2023
Leibniz algebras were introduced by J.-L. Loday in 1993 as a non-antisymmetric version of Lie algebras. Many results of Lie algebras have been extended to Leibniz algebras. One of them is the Levi decomposition, which states that every finite-dimensional
Manuel Mancini
core  

High‐Speed Rail and Spatial Equity: Unpacking the Sustainability Paradox of Land Use and Fiscal Pressure in County‐Level Cities

Sustainable Development, EarlyView.
ABSTRACT Infrastructure‐led development in rapidly urbanizing economies often generates accessibility gains that fail to translate into balanced urban outcomes, particularly when local fiscal institutions redirect those gains toward revenue‐generating land uses. Filling this gap, especially in fiscally constrained county‐level cities where land finance
Ming Xie, Xiaoxiao Liao, Zhenlin Xie
wiley   +1 more source

Essays in the history of Lie groups and algebraic groups

, 2001
Lie groups and algebraic groups are important in many major areas of mathematics and mathematical physics. We find them in diverse roles, notably as groups of automorphisms of geometric structures, as symmetries of differential systems, or as basic tools
Armand Borel, Borel, Armand
core   +1 more source

From Ambition to Authenticity: How Transparent Sustainability Practices Rebuild Stakeholder Trust

Sustainable Development, EarlyView.
ABSTRACT Stakeholder trust is central to advancing sustainable development, yet it is increasingly strained as corporate sustainability commitments expand faster than verifiable performance. This study examines how authenticity and transparency in corporate sustainability practices influence the formation and maintenance of stakeholder trust under ...
A. K. M. Mohsin, Markus Gerschberger, Md. Rashed, Sayed Farrukh Ahmed, Mohammad Fakhrul Islam, Hasanuzzaman Tushar   +5 more
wiley   +1 more source