Results 31 to 40 of about 875,148 (315)
On the extensions of infinite-dimensional representations of Lie semigroups
International Journal of Mathematics and Mathematical Sciences, 2002 The necessary and sufficient conditions have been obtained for extendability of a Banach representation of a generating Lie semigroup S to a local representation of the Lie group G generated by S when the tangent wedge of S is a Lie semialgebra. The most
Adolf R. Mirotin
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Haar expectations of ratios of random characteristic polynomials [PDF]
, 2016 We compute Haar ensemble averages of ratios of random characteristic polynomials for the classical Lie groups K = O(N), SO(N), and USp(N). To that end, we start from the Clifford-Weyl algebera in its canonical realization on the complex of holomorphic ...
A Huckleberry +10 more
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Equivariant K‐theory of compact Lie group actions with maximal rank isotropy [PDF]
Journal of Mathematics and Physics, 2012 Let G denote a compact connected Lie group with torsion‐free fundamental group acting on a compact space X such that all the isotropy subgroups are connected subgroups of maximal rank. Let T⊂G be a maximal torus with Weyl group W.
A. Adem +2 more
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International Journal of Mathematics and Mathematical Sciences, 2008 We give the explicit multiplication law of the Lie supergroups for which the base manifold is a 3-dimensional Lie group and whose underlying Lie superalgebra g=g0⊕g1 which satisfies g1=g0, g0 acts on g1 via the adjoint representation and g0 has a 2 ...
I. Hernández, R. Peniche
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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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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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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
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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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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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