Results 31 to 40 of about 2,143,040 (330)

PostLie algebra structures on the Lie algebra sl(2,C) [PDF]

, 2011
The PostLie algebra is an enriched structure of the Lie algebra that has recently arisen from operadic study. It is closely related to pre-Lie algebra, Rota-Baxter algebra, dendriform trialgebra, modified classical Yang-Baxter equations and integrable ...
Yu Pan, Qing Liu, C. Bai, Li Guo
semanticscholar   +1 more source

Post-Lie Algebra Structures on the Lie Algebra gl(2,C)

Abstract and Applied Analysis, 2013
The post-Lie algebra is an enriched structure of the Lie algebra. We give a complete classification of post-Lie algebra structures on the Lie algebra gl(2,C) up to isomorphism.
Yuqiu Sheng, Xiaomin Tang
doaj   +1 more source

Dopant‐free passivating contacts for crystalline silicon solar cells: Progress and prospects

EcoMat, Volume 5, Issue 2, February 2023., 2023
This article provides an overview of the mechanism and materials of dopant‐free passivating contacts for crystalline silicon solar cells, and focuses on the recent advances in contact configuration and interface engineering for efficiency and stability enhancement.
Yanhao Wang, Shan‐Ting Zhang, Le Li, Xinbo Yang, Linfeng Lu, Dongdong Li   +5 more
wiley   +1 more source

Batalin-Vilkovisky formality for Chern-Simons theory

Journal of High Energy Physics, 2021
We prove that the differential graded Lie algebra of functionals associated to the Chern-Simons theory of a semisimple Lie algebra is homotopy abelian. For a general field theory, we show that the variational complex in the Batalin-Vilkovisky formalism ...
Ezra Getzler
doaj   +1 more source

A Note on the Schur Multiplier of a Nilpotent Lie Algebra [PDF]

, 2010
For a nilpotent Lie algebra L of dimension n and dim (L 2) = m ≥ 1, we find the upper bound , where M(L) denotes the Schur multiplier of L. In case m = 1, the equality holds if and only if L ≅ H(1) ⊕ A, where A is an abelian Lie algebra of dimension n ...
P. Niroomand, F. Russo
semanticscholar   +1 more source

Characterizations of Lie n-Centralizers on Certain Trivial Extension Algebras

Journal of Mathematics, 2023
In this paper, we describe the structure of Lie n-centralizers of a trivial extension algebra. We then present some conditions under which a Lie n-centralizer on a trivial extension algebra is proper.
Xiaokui Li, He Yuan, Qian Zhang
doaj   +1 more source

Nilpotent Lie algebras of derivations with the center of small corank

Karpatsʹkì Matematičnì Publìkacìï, 2020
Let $\mathbb K$ be a field of characteristic zero, $A$ be an integral domain over $\mathbb K$ with the field of fractions $R=Frac(A),$ and $Der_{\mathbb K}A$ be the Lie algebra of all $\mathbb K$-derivations on $A$. Let $W(A):=RDer_{\mathbb K} A$ and $L$
Y.Y. Chapovskyi, L.Z. Mashchenko, A.P. Petravchuk   +2 more
doaj   +1 more source

Enriched Lie algebras in topology, I [PDF]

arXiv, 2021
The complete enriched Lie algebras constitue the natural extension of graded Lie algebras for connected spaces. Each complete enriched Lie algebra is the rational homotopy Lie algebra of a connected space.
arxiv  

Covariance Tracking using Model Update Based on Lie Algebra

Computer Vision and Pattern Recognition, 2006
We propose a simple and elegant algorithm to track nonrigid objects using a covariance based object description and a Lie algebra based update mechanism.
F. Porikli, Oncel Tuzel, P. Meer
semanticscholar   +1 more source

Robot grasping and regrasping kinematics using Lie algebra, the geodesic, and Riemann curvature tensor [PDF]

Archives of Control Sciences, 2023
Differential geometry is a strong and highly effective mathematical subject for robot gripper design when grasping within the predetermined trajectories of path planning.
Haydar Sahin
doaj   +1 more source