Results 41 to 50 of about 872,521 (356)
How to perform the coherent measurement of a curved phase space by continuous isotropic measurement. I. Spin and the Kraus-operator geometry of $\mathrm{SL}(2,\mathbb{C})$ [PDF]
Quantum, 2023 The generalized $Q$-function of a spin system can be considered the outcome probability distribution of a state subjected to a measurement represented by the spin-coherent-state (SCS) positive-operator-valued measure (POVM).
Christopher S. Jackson, Carlton M. Caves
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Exchange dynamical quantum groups [PDF]
, 1999 For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unity, we construct a dynamical quantum group (Hopf algebroid), whose representation theory is essentially the same as the representation theory of the ...
Etingof, Pavel, Varchenko, Alexander
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An amenability-like property of finite energy path and loop groups
Comptes Rendus. Mathématique, 2021 We show that the groups of finite energy loops and paths (that is, those of Sobolev class $H^1$) with values in a compact connected Lie group, as well as their central extensions, satisfy an amenability-like property: they admit a left-invariant mean on ...
Pestov, Vladimir
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A Survey on Weyl Calculus for Representations of Nilpotent Lie Groups [PDF]
AIP Conference Proceedings, 2009 We survey some aspects of the pseudo-differential Weyl calculus for irreducible unitary representations of nilpotent Lie groups, ranging from the classical ideas to recently obtained results. The classical Weyl-H rmander calculus is recovered for the Schr dinger representation of the Heisenberg group.
I. Beltiţă +6 more
openaire +2 more sources
Remote Sensing, 2022 Discriminative feature learning is the key to remote sensing scene classification. Previous research has found that most of the existing convolutional neural networks (CNN) focus on the global semantic features and ignore shallower features (low-level ...
Chengjun Xu, Guobin Zhu, Jingqian Shu
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Scale robust point matching‐Net: End‐to‐end scale point matching using Lie group
IET Computer Vision, 2022 Point cloud matching is an important procedure in a variety of computer vision tasks. Traditional point cloud matching methods have made great progress, while neural network‐based approaches are becoming a trend, powered by their strong capabilities of ...
Xin Wang +4 more
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Quiver theories and formulae for nilpotent orbits of Exceptional algebras
Journal of High Energy Physics, 2017 We treat the topic of the closures of the nilpotent orbits of the Lie algebras of Exceptional groups through their descriptions as moduli spaces, in terms of Hilbert series and the highest weight generating functions for their representation content.
Amihay Hanany, Rudolph Kalveks
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Completeness of coherent state subsystems for nilpotent Lie groups
Comptes Rendus. Mathématique, 2022 Let $G$ be a nilpotent Lie group and let $\pi $ be a coherent state representation of $G$. The interplay between the cyclicity of the restriction $\pi |_{\Gamma }$ to a lattice $\Gamma \le G$ and the completeness of subsystems of coherent states based on
van Velthoven, Jordy Timo
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Lie symmetries and exact solutions for a fourth‐order nonlinear diffusion equation
Mathematical methods in the applied sciences, 2022 In this paper, we consider a fourth‐order nonlinear diffusion partial differential equation, depending on two arbitrary functions. First, we perform an analysis of the symmetry reductions for this parabolic partial differential equation by applying the ...
A. Márquez +3 more
semanticscholar +1 more source
Spiders for rank 2 Lie algebras
, 1996 A spider is an axiomatization of the representation theory of a group, quantum group, Lie algebra, or other group or group-like object. We define certain combinatorial spiders by generators and relations that are isomorphic to the representation theories
A.A. Kirillov +13 more
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