Search results for " representation"

showing 10 items of 811 documents

Topological Hopf Algebras, Quantum Groups and Deformation Quantization

2019

After a presentation of the context and a brief reminder of deformation quantization, we indicate how the introduction of natural topological vector space topologi es on Hopf algebras associated with Poisson Lie groups, Lie bialgebras and their doubles explains their dualities a nd provides a comprehensive framework. Relations with deformation quantization and applications to the deformation quantization of symmetric spaces are described.

Geometric quantizationTopological algebra010308 nuclear & particles physicsCanonical quantizationQuantum group010102 general mathematicsTopologyHopf algebra01 natural sciencesRepresentation theoryLie conformal algebraAdjoint representation of a Lie algebra0103 physical sciences0101 mathematicsMathematics
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Social representations of latin american immigrants about immigration, care and elderly caregivers

2013

Ageing in Spain has increased considerably and elderly people often find themselves in a situation of great dependence. Facing this situation, many have had the support of immigrant caregivers from Latin America. This research had the purpose to know the social representations (SR) of these caregivers, living in Valencia (Spain), about immigration, care and elderly care. It involved the participation of 35 immigrants who responded the Word Association Test and a socio-demographic questionnaire. The results revealed that the SR on immigration reflect "nostalgia", care was represented by "help", and care for the elderly by "respect". It is concluded that the SR allow understanding the symboli…

GerontologyLatin AmericansSocial Psychologymedia_common.quotation_subjectrepresentações sociaisImmigrationlcsh:BF1-990cuidadosElderly carecuidados com as pessoas idosasimmigrationsimigraçãoElderly peopleSociologycarelcsh:Social sciences (General)media_commonInternational levelelderly careCognitionSocial relationlcsh:Psychologysocial representationsThe Symboliclcsh:H1-99Social psychologyPsicologia & Sociedade
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Variable selection in mixed models: a graphical approach

2014

Model selection can be defined as the task of estimating the performance of dif- ferent models in order to choose the (approximate) best one. The purpose of this article is to introduce an extension of the graphical representation of deviance proposed in the framework of classical and generalized linear models to the wider class of mixed models. The proposed plot is useful in determining which are the important explanatory variables conditioning on the random effects part. The applicability and the easy interpretation of the graph are illus- trated with a real data examples.

Graphical representation Mixed models Model selection Penalized Weighted Residual Sum of Squares
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Formal Group Laws for Affine Kac-Moody groups and group quantization

1987

We describe a method for obtaining Formal Group Laws from the structure constants of Affine Kac-Moody groups and then apply a group manifold quantization procedure which permits construction of physical representations by using only canonical structures on the group. As an intermediate step we get an explicit expression for two-cocycles on Loop Groups. The programme is applied to the AffineSU(2) group.

Group (mathematics)Formal groupStatistical and Nonlinear Physics17B6758D05Group representationAlgebra81D07Affine representationSymmetric groupUnitary groupLawAffine group22E65Mathematical PhysicsMathematicsSchur multiplierCommunications in Mathematical Physics
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Analytic energy gradients for the spin-free exact two-component theory using an exact block diagonalization for the one-electron Dirac Hamiltonian.

2011

We report the implementation of analytic energy gradients for the evaluation of first-order electrical properties and nuclear forces within the framework of the spin-free (SF) exact two-component (X2c) theory. In the scheme presented here, referred to in the following as SFX2c-1e, the decoupling of electronic and positronic solutions is performed for the one-electron Dirac Hamiltonian in its matrix representation using a single unitary transformation. The resulting two-component one-electron matrix Hamiltonian is combined with untransformed two-electron interactions for subsequent self-consistent-field and electron-correlated calculations. The "picture-change" effect in the calculation of p…

Hamiltonian matrixChemistryMatrix representationGeneral Physics and AstronomyElectronDecoupling (cosmology)Unitary transformationDipolesymbols.namesakeQuantum mechanicssymbolsNuclear forcePhysical and Theoretical ChemistryHamiltonian (quantum mechanics)The Journal of chemical physics
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Recognising a hand by grasp.

2000

The present study aimed to demonstrate that motor representations are used to recognise biological stimuli. In three experiments subjects were required to judge laterality of hands and forearms presented by pictures. The postures of the hands were those assumed when holding a small, medium and large sphere. In experiment 1, the sphere held in hand was presented, whereas in experiment 2 it was absent. In experiment 3, the same images, showing holding-a-sphere hands, as in experiment 1 were presented, but without forearm. In all experiments one finger of each hand could be absent. In experiment 1 recognition time was longer for those hand postures for which the corresponding grasping motor ac…

Hand recognitionAdultMaleCognitive NeuroscienceExperimental and Cognitive PsychologyMotor programMental rotationFunctional LateralityFingersBehavioral NeuroscienceMemoryOrientationHumansControl (linguistics)Hand recognition Grasp representation Action Type of grip Mental rotation HumanCognitive scienceHand StrengthGRASPMental rotationObject (philosophy)Type of gripBiomechanical PhenomenaForm PerceptionGrasp representationForearmAction (philosophy)ActionTouchLateralityMental representationFemalePsychologyPhotic StimulationHumanBrain research. Cognitive brain research
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Integration of functions ranging in complex Riesz space and some applications in harmonic analysis

2015

The theory of Henstock—Kurzweil integral is generalized to the case of functions ranging in complex Riesz space R and defined on any zero-dimensional compact Abelian group. The constructed integral is used to solve the problem of recovering the R-valued coefficients of series in systems of characters of these groups by using generalized Fourier formulas.

Henstock integralSeries (mathematics)Riesz representation theoremRiesz potentialintegral transformGeneral MathematicsMathematical analysisMathematics::Classical Analysis and ODEsHilbert spacegroup characterRiesz spacezero-dimensional compact Abelian groupcharacterHenstock—Kurzweil integralComplex Riesz space character Henstock integral basis integral transform.Riesz transformsymbols.namesakeFourier transformM. Riesz extension theorembasissymbolsMathematics (all)complex Riesz spaceMathematicsMathematical Notes
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D-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization

2015

The D-pseudo-boson formalism is illustrated with two examples. The first one involves deformed complex Hermite polynomials built using finite-dimensional irreducible representations of the group GL(2, C) of invertible 2 × 2 matrices with complex entries. It reveals interesting aspects of these representations. The second example is based on a pseudo-bosonic generalization of operator-valued functions of a complex variable which resolves the identity. We show that such a generalization allows one to obtain a quantum pseudo-bosonic version of the complex plane viewed as the canonical phase space and to understand functions of the pseudo-bosonic operators as the quantized versions of functions…

Hermite polynomials010102 general mathematics01 natural scienceslaw.inventionClassical orthogonal polynomialsAlgebraQuantization (physics)Invertible matrixlawIrreducible representationPhase space0103 physical sciencesCoherent statespseudo-bosonsGeometry and Topology0101 mathematics010306 general physicsSettore MAT/07 - Fisica MatematicaComplex planeMathematical PhysicsAnalysisMathematics
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Mostrare l’invisibile: il soffitto trecentesco nascosto del convento di Santa Caterina a Palermo

2022

Digital surveying and representation technologies have been widely used for the visualization of works of art and architecture that no longer exist or have been moved from their original location. These researches share a common feature, that can be resumed by the motto “Display the invisible”, already used in research experiences [Colosi et al. 2015; Gambin et al. 2021]. The purpose of this research is the visualization of a 14th century wooden ceiling, painted by anonymous artists, that covered the hall used for the assembly of the Chapter in the convent of Santa Caterina, at the heart of the historic center of Palermo. The hall was reshaped at the end of the 18th century to serve as a sa…

Hidden heritage wooden ceilings digital representation motion tracking augmented realitySettore ICAR/17 - Disegno
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Algebra Structures on Hom(C,L)

1999

info:eu-repo/semantics/published

High Energy Physics - TheoryNon-associative algebraFOS: Physical sciencesUniversal enveloping algebra01 natural sciencesGraded Lie algebraMathematics::K-Theory and HomologyMathematics::Category TheoryMathematics::Quantum Algebra0103 physical sciencesMathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)0101 mathematicsMathematicsAlgebra and Number TheoryQuantum groupPhysique010102 general mathematicsSubalgebraMathematics::Rings and AlgebrasLie conformal algebraAlgebraLie coalgebraHigh Energy Physics - Theory (hep-th)Algebra representation010307 mathematical physics
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