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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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Symmetry Representations in the Rigged Hilbert Space Formulation of Quantum Mechanics [PDF]
, 2002 We discuss some basic properties of Lie group representations in rigged Hilbert spaces. In particular, we show that a differentiable representation in a rigged Hilbert space may be obtained as the projective limit of a family of continuous ...
A Bohm +22 more
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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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Rationality of representations of linear Lie groups [PDF]
Proceedings of the American Mathematical Society, 1992 We are concerned with real linear Lie groups G G having the property that every finite-dimensional continuous representation of G G is rational.
Dong Hoon Lee, Ta Sun Wu
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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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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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Computing Multiplicities of Lie Group Representations [PDF]
2012 IEEE 53rd Annual Symposium on Foundations of Computer Science, 2012 For fixed compact connected Lie groups H \subseteq G, we provide a polynomial time algorithm to compute the multiplicity of a given irreducible representation of H in the restriction of an irreducible representation of G. Our algorithm is based on a finite difference formula which makes the multiplicities amenable to Barvinok's algorithm for counting ...
Christandl Matthias +2 more
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Lie Group Representations On Polynomial Rings [PDF]
American Journal of Mathematics, 1963 Let G be a group of linear transformations on a finite dimensional real or complex vector space X. Assume X is completely reducible as a G-module. Let S be the ring of all complex-valued polynomials on X, regarded as a G-module in the obvious way, and let J ? S be the sub-ring of all G-invariant polynomials on X.
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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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Réalisation du flot géodesique sur le groupe SO(n) comme flot sur des orbites de Kotant-Kirillov/Realization of geodesic flow on the group SO(n) as a flow on Kostant-Kirillov orbits [PDF]
Surveys in Mathematics and its Applications, 2019 The aim of this paper is to realize the geodesic flow on the group SO(n) as a flow on the Kostant-Kirillov orbits. We study the adjoint and coadjoint orbits of a Lie group with an application in the case of the orthogonal special group SO(n). We will see
Ahmed Lesfari
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