Results 71 to 80 of about 100,933 (264)
On G-finitistic spaces and related notions
Let X be a G-space where G is a topological group. We show that X is G-finitistic iff the orbit space X/G is finitistic. This result allows us to answer a question raised in [5] asking for an equivariant characterization of a non-finitistic G-space where
Satya Deo, Janak Singh Andotra
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ON GENERALIZATION OF SPECIAL FUNCTIONS RELATED TO WEYL GROUPS
Weyl group orbit functions are defined in the context of Weyl groups of simple Lie algebras. They are multivariable complex functions possessing remarkable properties such as (anti)invariance with respect to the corresponding Weyl group, continuous and ...
Lenka Háková, Agnieszka Tereszkiewicz
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On groups of smooth maps into a simple compact Lie group
Let \(M_ 0G\) be the identity component of the group of smooth maps from a compact manifold X to a compact simple Lie group G. The diffeomorphisms of X act as automorphisms of \(M_ 0G\); another obvious class of automorphisms of \(M_ 0G\) is given by the smooth maps \(X\to Aut(G)\). The main result of this paper is that every automorphism of \(M_ 0G\),
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Objective The aim of this study was to evaluate the sensitivity of the 2023 American College of Rheumatology (ACR)/EULAR classification criteria for antiphospholipid syndrome (APS) in a real‐world cohort of women diagnosed with primary obstetric APS (oAPS) and to assess their ability to identify patients at risk of future pregnancy complications ...
Francesca Ruffilli +10 more
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Character estimates of adjoint simple Lie groups [PDF]
Abstract Call a compact, connected, simple Lie group G adjoint simple if it has trivial center. Let C ⊂ G be a nontrivial conjugacy class, e ∈ G the identity element of G. We prove the existence of a bound N ∈ ℕ, depending on G but not C, such that e lies in the interior of Cn for all n ≥ N.
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Objective To investigate the association between rheumatoid arthritis (RA) and coronary artery calcium (CAC) prevalence, incidence, and progression over four years in adults without prior cardiovascular disease. Methods A case‐cohort study within the Brazilian Longitudinal Study of Adult Health (ELSA‐Brasil) included 585 participants (86 patients with ...
Patrícia Fonseca Estrada +7 more
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The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
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Estudiamos la K-teoría para las álgebras de todas las funciones continuas sobre ciertos espacios homogeneos, principalmente en los grupos de Lie conexos semi- simples y subgrupos discretos .
Takahiro Sudo
doaj
The Existence of Triple Factorizations for Sporadic Groups of Rank 3
A finite group G with proper subgroups A and B has triple factorization G = ABA if every element g of G can be represented as g = aba0 , where a and a 0 are from A and b is from B.
L. S. Kazarin +2 more
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A Simple Model of Double Dynamics on Lie Groups [PDF]
We study the dynamics of the rigid rotator on the group manifold of SU(2) as an instance of dynamics on Lie groups together with a dual model whose carrier space is the Borel group SB(2,C), the Lie Poisson dual of SU(2). We thus introduce a parent action on the Drinfeldd double of the above mentioned groups, which describes the dynamics of a system ...
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