Poisson-Lie sigma models over low dimensional real Poisson-Lie groups [PDF]
arXiv, 2010 The Poisson-Lie sigma models over nonsemisimple low dimensional real Poisson-Lie groups are investigated. We find two sided models on two, three and some four dimensional Poisson-Lie groups where the Poisson-Lie sigma models over Poisson-Lie groups G and its dual $\tilde{G}$ are topological sigma models or BF gauge models.
arxiv
Integrating central extensions of Lie algebras via Lie 2-groups [PDF]
arXiv, 2012 The purpose of this paper is to show how central extensions of (possibly infinite-dimensional) Lie algebras integrate to central extensions of \'etale Lie 2-groups. In finite dimensions, central extensions of Lie algebras integrate to central extensions of Lie groups, a fact which is due to the vanishing of \pi_2 for each finite-dimensional Lie group ...
arxiv
Every smooth p-adic Lie group admits a compatible analytic structure [PDF]
arXiv, 2003 We show that every finite-dimensional p-adic Lie group of class C^k admits a C^k-compatible analytic Lie group structure.
arxiv
Regular infinite dimensional Lie groups
, 1996 Regular Lie groups are infinite dimensional Lie groups with the property that smooth curves in the Lie algebra integrate to smooth curves in the group in a smooth way (an `evolution operator' exists). Up to now all known smooth Lie groups are regular. We
Kriegl, Andreas, Michor, Peter W.
core +3 more sources
Solving the initial value problem of ordinary differential equations by Lie group based neural network method. [PDF]
PLoS One, 2022 Wen Y, Chaolu T, Wang X.
europepmc +1 more source
Crystallographic actions on Lie groups and post-Lie algebra structures [PDF]
arXiv, 2019 This survey on crystallographic groups, geometric structures on Lie groups and associated algebraic structures is based on a lecture given in the Ostrava research seminar in $2017$.
arxiv
Lie-Group Theoretic Approach to Shape-Sensing Using FBG-Sensorized Needles Including Double-Layer Tissue and S-Shape Insertions. [PDF]
IEEE Sens J, 2022 Lezcano DA, Iordachita II, Kim JS.
europepmc +1 more source
*-Ricci soliton on (κ, μ)′-almost Kenmotsu manifolds
Open Mathematics, 2019 Let (M, g) be a non-Kenmotsu (κ, μ)′-almost Kenmotsu manifold of dimension 2n + 1. In this paper, we prove that if the metric g of M is a *-Ricci soliton, then either M is locally isometric to the product ℍn+1(−4)×ℝn or the potential vector field is ...
Dai Xinxin, Zhao Yan, Chand De Uday
doaj +1 more source
Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group H4
Nuclear Physics B, 2015 We show that the WZW model on the Heisenberg Lie group H4 has Poisson–Lie symmetry only when the dual Lie group is A2⊕2A1. In this way, we construct the mutual T-dual sigma models on Drinfel'd double generated by the Heisenberg Lie group H4 and its dual ...
A. Eghbali, A. Rezaei-Aghdam
doaj +1 more source
A basis for free Lie rings and higher commutators in free groups [PDF]
, 1950 Marshall Hall
openalex +1 more source