Results 61 to 70 of about 168,726 (280)
K-contact Lie groups of dimension five or greater [PDF]
, 2010 We prove that a K-contact Lie group of dimension five or greater is the central extension of a symplectic Lie group by complexifying the Lie algebra and applying a result from complex contact geometry, namely, that, if the adjoint action of the complex ...
Foreman, Brendan
core
Beyond the Non‐Hermitian Skin Effect: Scaling‐Controlled Topology from Exceptional‐Bound Bands
Advanced Science, EarlyView.ABSTRACT We establish a novel mechanism for topological transitions in non‐Hermitian systems that are controlled by the system size. Based on a new paradigm known as exceptional‐bound (EB) band engineering, its mechanism hinges on the unique critical scaling behavior near an exceptional point, totally unrelated to the well‐known non‐Hermitian skin ...
Mengjie Yang, Ching Hua Lee
wiley +1 more source
On the Projective Algebra of Randers Metrics of Constant Flag Curvature
Symmetry, Integrability and Geometry: Methods and Applications, 2011 The collection of all projective vector fields on a Finsler space (M,F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M,F) and is the Lie algebra of the projective group P(M,F).
Mehdi Rafie-Rad, Bahman Rezaei
doaj +1 more source
On finite dimensional Nichols algebras of diagonal type
Bulletin of Mathematical Sciences, 2017 This is a survey on Nichols algebras of diagonal type with finite dimension, or more generally with arithmetic root system. The knowledge of these algebras is the cornerstone of the classification program of pointed Hopf algebras with finite dimension ...
Nicolás Andruskiewitsch, Iván Angiono
doaj +1 more source
A new characterization of the exceptional Lie algebras [PDF]
, 2014 For a simple Lie algebra, over $\mathbb{C}$, we consider the weight which is the sum of all simple roots and denote it $\tilde{\alpha}$. We formally use Kostant's weight multiplicity formula to compute the "dimension" of the zero-weight space.
Harris, Pamela, Insko, Erik
core
Solvable Lie algebras with triangular nilradicals
, 1998 All finite-dimensional indecomposable solvable Lie algebras $L(n,f)$, having the triangular algebra T(n) as their nilradical, are constructed. The number of nonnilpotent elements $f$ in $L(n,f)$ satisfies $1\leq f\leq n-1$ and the dimension of the Lie ...
Hausner M +19 more
core +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 +13 more
wiley +1 more source
THE HEISENBERG'S TRIDIMENSIONAL GROUP H3
Pesquimat, 2014 On the basis of [7], we have the necessary theory to study the Heisenberg's group geometry. This paper goal is to carry the whole results to the tridimensional case.
Richard santiago Quispe Rivas
doaj +1 more source
Stability of Lie groupoid C*-algebras
, 2015 In this paper we generalize a theorem of M. Hilsum and G. Skandalis stating that the $C^*$- algebra of any foliation of non zero dimension is stable. Precisely, we show that the C*-algebra of a Lie groupoid is stable whenever the groupoid has no orbit of
Debord, Claire, Skandalis, Georges
core +3 more sources
Agribusiness, EarlyView.ABSTRACT Innovation is essential for competitiveness in agribusiness facing dynamic environments. This study examines how market orientation, marketing, relational, and social capabilities influence innovation performance. Using data from 751 Spanish firms and a multi‐method approach that integrates Structural Equation Modeling (PLS‐SEM), Necessary ...
Beatriz Corchuelo Martínez‐Azúa +1 more
wiley +1 more source