Results 21 to 30 of about 5,722,301 (356)
We present schemes for simulating Brownian bridges on complete and connected Lie groups and homogeneous spaces. We use this to construct an estimation scheme for recovering an unknown left- or right-invariant Riemannian metric on the Lie group from ...
Mathias Højgaard Jensen +2 more
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Political Discussions in Homogeneous and Cross-Cutting Communication Spaces [PDF]
Online platforms, such as Facebook, Twitter, and Reddit, provide users with a rich set of features for sharing and consuming political information, expressing political opinions, and exchanging potentially contrary political views.
Jisun An +3 more
semanticscholar +1 more source
On homogeneous spaces with finite anti-solvable stabilizers
We say that a group is anti-solvable if all of its composition factors are non-abelian. We consider a particular family of anti-solvable finite groups containing the simple alternating groups for $n\ne 6$ and all 26 sporadic simple groups. We prove that,
Lucchini Arteche, Giancarlo
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Symplectic Homogeneous Spaces [PDF]
It is proved in this paper that for a given simply connected Lie group G with Lie algebra g \mathfrak {g} , every left-invariant closed 2-form induces a symplectic homogeneous space. This fact generalizes the results in [7] and [12] that if H 1 (
openaire +1 more source
Gagliardo-Nirenberg-type inequalities using fractional Sobolev spaces and Besov spaces
Our main purpose is to establish Gagliardo-Nirenberg-type inequalities using fractional homogeneous Sobolev spaces and homogeneous Besov spaces. In particular, we extend some of the results obtained by the authors in previous studies.
Dao Nguyen Anh
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Two-step Homogeneous Geodesics in Homogeneous Spaces [PDF]
We study geodesics of the form $\gamma(t) = \pi(\exp(tX) \exp(tY))$, $X, Y \in \mathfrak{g} = \operatorname{Lie}(G)$, in homogeneous spaces $G/K$, where $\pi \colon G \to G/K$ is the natural projection.
A. Arvanitoyeorgos, N. Souris
semanticscholar +1 more source
Symplectic homogeneous spaces [PDF]
In this paper we make various remarks, mostly of a computational nature, concerning a symplectic manifold X on which a Lie group G acts as a transitive group of symplectic automorphisms. The study of such manifolds was initiated by Kostant [41 and Souriau [5] and was recently developed from a more general point of view by Chu [2].
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Matrix Models in Homogeneous Spaces [PDF]
We investigate non-commutative gauge theories in homogeneous spaces G/H. We construct such theories by adding cubic terms to IIB matrix model which contain the structure constants of G.
Ambjorn +32 more
core +5 more sources
The authors prove that on a set with \(n>0\) elements there are up to homeomorphism \(\tau(n)\) homogeneous topologies. Here \(\tau(n)\) is the number of positive divisors of \(n\). They also prove that if \(X\) is finite and \(\tau\) is a connected homogeneous topology on \(X\) then \(\tau = \{\emptyset,X\}\).
Fora, Ali, Al-Bsoul, Adnan
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Affine representability results in 1–homotopy theory, II : Principal bundles and homogeneous spaces [PDF]
We establish a relative version of the abstract "affine representability" theorem in ${\mathbb A}^1$--homotopy theory from Part I of this paper. We then prove some ${\mathbb A}^1$--invariance statements for generically trivial torsors under isotropic ...
A. Asok, Marc Hoyois, Matthias Wendt
semanticscholar +1 more source

