Results 21 to 30 of about 17,624 (148)

Shintani Functions on 𝑆𝐿(3,𝐑)

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
We investigate the Shintani functions attached to the spherical and nonspherical principal series representations of 𝑆𝐿(3,𝐑). We give the explicit formulas of the radial part of Shintani functions and evaluate the dimension of the space of Shintani ...
Keiju Sono
doaj   +1 more source

A compact spherical RGBD keyframe-based representation [PDF]

open access: yes2015 IEEE International Conference on Robotics and Automation (ICRA), 2015
— This paper proposes an environmental representation approach based on hybrid metric and topological maps as a key component for mobile robot navigation. Focus is made on an ego-centric pose graph structure by the use of Keyframes to capture the local properties of the scene.
Gokhool, Tawsif   +3 more
openaire   +2 more sources

3D face recognition with sparse spherical representations [PDF]

open access: yesPattern Recognition, 2010
This paper addresses the problem of 3D face recognition using simultaneous sparse approximations on the sphere. The 3D face point clouds are first aligned with a novel and fully automated registration process. They are then represented as signals on the 2D sphere in order to preserve depth and geometry information.
Sala, Llonch R.   +3 more
openaire   +2 more sources

Concentric Spherical GNN for 3D Representation Learning.

open access: yesProposed for presentation at the SIAM CSE Minisymposium - Scientific Machine Learning: Algorithms and Applications held March 2, 2021 in Virtual, Virtual, Virtual., 2021
This paper has been submitted for conference ...
Fox, James   +4 more
openaire   +2 more sources

The curious case of large-N expansions on a (pseudo)sphere

open access: yesNuclear Physics B, 2015
We elucidate the large-N dynamics of one-dimensional sigma models with spherical and hyperbolic target spaces and find a duality between the Lagrange multiplier and the angular momentum.
Alexander M. Polyakov   +2 more
doaj   +1 more source

Spherical Harmonics Ylm(θ,ϕ): Positive and Negative Integer Representations of su(1,1) for l-m and l+m

open access: yesAdvances in High Energy Physics, 2016
The azimuthal and magnetic quantum numbers of spherical harmonics Ylm(θ,ϕ) describe quantization corresponding to the magnitude and z-component of angular momentum operator in the framework of realization of su(2) Lie algebra symmetry.
H. Fakhri
doaj   +1 more source

Spherical indecomposable representations of Lie superalgebras

open access: yesJournal of Algebra, 2020
We present a classification of all spherical indecomposable representations of classical and exceptional Lie superalgebras. We also include information about stabilizers, symmetric algebras, and Borels for which sphericity is achieved. In one such computation, the symmetric algebra of the standard module of $\mathfrak{osp}(m|2n)$ is computed, which in ...
openaire   +3 more sources

Efficient Spherical Harmonics Representation of 3D Objects [PDF]

open access: yes15th Pacific Conference on Computer Graphics and Applications (PG'07), 2007
In this paper, we present a new and efficient spherical harmonics decomposition for spherical functions defining 3D triangulated objects. Such spherical functions are intrinsically associated to star-shaped objects. However, our results can be extended to any triangular object after segmentation into star-shaped surface patches and recomposition of the
Mousa, Mohamed   +3 more
openaire   +2 more sources

New exact static solutions of Einstein-Maxwell field equations with a magnetic dipole

open access: yesResults in Physics, 2021
The Bonnor field shed light on imposition of two magnetic poles, both with mass m, and strengths -m and m, that are situated at a coordinate distance 2b on a symmetry axis.
Sachin Kumar   +3 more
doaj   +1 more source

Spherical representations of Lie supergroups

open access: yesJournal of Functional Analysis, 2015
The classical Cartan-Helgason theorem characterises finite-dimensional spherical representations of reductive Lie groups in terms of their highest weights. We generalise the theorem to the case of a reductive symmetric supergroup pair $(G,K)$ of even type. Along the way, we compute the Harish-Chandra $c$-function of the symmetric superspace $G/K$.
Alexander Alldridge   +1 more
openaire   +2 more sources

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