Results 21 to 30 of about 10,909 (156)

On the Affine Weyl group of type A˜n−1

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
We study in this paper the affine Weyl group of type A˜n−1, [1]. Coxeter [1] showed that this group is infinite. We see in Bourbaki [2] that A˜n−1 is a split extension of Sn, the symmetric group of degree n, by a group of translations and of lattice of ...
Muhammad A. Albar
doaj   +1 more source

Best Approximations in Hardy Spaces on Infinite-Dimensional Unitary Matrix Groups

open access: yesAbstract and Applied Analysis, 2014
We investigate the problem of best approximations in the Hardy space of complex functions, defined on the infinite-dimensional unitary matrix group. Applying an abstract Besov-type interpolation scale and the Bernstein-Jackson inequalities, a behavior of
Oleh Lopushansky
doaj   +1 more source

On the trace-manifold generated by the deformations of a body-manifold [PDF]

open access: yesTheoretical and Applied Mechanics, 2003
In this paper, concerned to the study of continuous deformations of material media using some tools of modem differential geometry, a moving frame of Frenet type along the orbits of an one-parameter group acting on a so-called "trace-manifold", M ...
Boja Nicolae
doaj   +1 more source

Finite-temperature symmetric tensor network for spin-1/2 Heisenberg antiferromagnets on the square lattice

open access: yesSciPost Physics, 2021
Within the tensor network framework, the (positive) thermal density operator can be approximated by a double layer of infinite Projected Entangled Pair Operator (iPEPO) coupled via ancilla degrees of freedom.
Didier Poilblanc, Matthieu Mambrini, Fabien Alet
doaj   +1 more source

Hardy-Type Space Associated with an Infinite-Dimensional Unitary Matrix Group

open access: yesAbstract and Applied Analysis, 2013
We investigate an orthogonal system of the homogenous Hilbert-Schmidt polynomials with respect to a probability measure which is invariant under the right action of an infinite-dimensional unitary matrix group.
Oleh Lopushansky
doaj   +1 more source

Infinite (continuous) spin fields in the frame-like formalism

open access: yesNuclear Physics B, 2018
In this paper we elaborate on the gauge invariant frame-like Lagrangian description for the wide class of the so-called infinite (or continuous) spin representations of Poincaré group.
M.V. Khabarov, Yu.M. Zinoviev
doaj   +1 more source

Orthogonal Polynomials of Compact Simple Lie Groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n.
Maryna Nesterenko   +2 more
doaj   +1 more source

5,5′-Dimethoxy-2,2′-[(pentane-1,5-diyldioxy)bis(nitrilomethylidyne)]diphenol

open access: yesActa Crystallographica Section E, 2009
The molecule of the title compound, C21H26N2O6, which lies across a crystallographic inversion centre, crystallizes with two unique half-molecules in the symmetric unit and adopts a linear configuration and the imino group is coplanar with the aromatic ...
Li Li   +4 more
doaj   +1 more source

Asymptotically Safe Gravity-Fermion Systems on Curved Backgrounds

open access: yesUniverse, 2021
We set up a consistent background field formalism for studying the renormalization group (RG) flow of gravity coupled to Nf Dirac fermions on maximally symmetric backgrounds.
Jesse Daas   +3 more
doaj   +1 more source

Research on the chaotic secure communication of the phase-space symmetric Lorenz oscillator group

open access: yesTongxin xuebao, 2019
To meet the demand of chaotic oscillators for large scale secure communications,the Lorenz oscillator was taken as an example,a phase-space symmetric chaotic oscillator group model was proposed and the synchronization problem was studied.According to the
Linfang LIU   +3 more
doaj   +2 more sources

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