Search results for " Representation."

showing 10 items of 791 documents

Affine Kettengeometrien �ber Jordanalgebren

1996

It is shown that an affine chain geometry over a Jordan algebra can be constructed in a nearly classical manner. Conversely, such chain geometries are characterized as systems of rational normal curves having a group of automorphisms with certain properties.

Affine coordinate systemDiscrete mathematicsAffine geometryQuantum affine algebraPure mathematicsAffine representationAffine geometry of curvesAffine hullAffine groupGeometry and TopologyAffine planeMathematicsGeometriae Dedicata
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The coordinatization of affine planes by rings

1996

With every unitary free module of rank 2 there is naturally associated a generalized affine plane (e.g. the lines are just the cosets of all nonzero 1-generated submodules). Here we solve the converse problem by coordinatizing a given generalized affine plane which satisfies certain versions of Desargues' postulate.

Affine geometryAffine coordinate systemCombinatoricsAffine geometry of curvesAffine representationAffine hullAffine groupGeometry and TopologyAffine transformationAffine planeMathematicsGeometriae Dedicata
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On the algebraic representation of projectively embeddable affine geometries

1995

The main result of this article is an application of [1] and [2] which yields that an at least 2-dimensional affine geometry is module-induced if and only if it is projectively embeddable into an Arguesian projective lattice geometry.

Affine geometryDiscrete mathematicsAffine geometry of curvesAlgebra representationGeometry and TopologyAffine transformationLattice (discrete subgroup)Affine planeMathematicsJournal of Geometry
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An Agent-Based Model of Extortion Racketeering

2016

Mafias can be considered as criminal organisations that are in the business of producing, promoting, and selling protection. Here, we describe the Palermo Scenario, an agent-based model of protection rackets aimed to deepen our understanding of protection rackets, and help policymakers to evaluate methods for destabilising them. Additionally, since the system is explicitly specified, we can use it to investigate the entire causal pathway from cause to effect: not only from actions to Mafia destabilisation, but also the intermediate actions along the path and actors' internal mental representations among the population.

Agent-based modelCausal pathwayeducation.field_of_study05 social sciencesPopulationracket02 engineering and technologyMicroeconomicsExtortionRacketeering0502 economics and businessPath (graph theory)0202 electrical engineering electronic engineering information engineeringMental representationmedia_common.cataloged_instanceMafia020201 artificial intelligence & image processingBusiness050207 economicssocial normseducationnormscrimemedia_common
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Educational styles, peers’ approval and adolescent self-injurious behaviours

2010

The present research aims at understanding how the same body may became object of aggression and destruction by adolescents' self-injurious behaviours. Particularly, self-injurious behaviours are those finalised to destruction or deliberate alteration of one's body, even if without a conscious suicidal intention. The research aims at studying the relationship between educational styles, self-injurious behaviours and the social representation of the phenomenon in a group of adolescents aged between 15 and 19 years. Research has shown that on the basis of self-injurious behaviours there are the perception of an authoritarian educational style and approval by peers and brothers. (C) 2010 Elsev…

Aggressionmedia_common.quotation_subjectAuthoritarianismeducational stylesStyle (sociolinguistics)Developmental psychologypeersself-injurious behavioursPerceptionPhenomenonSocial representationSettore M-PSI/07 - Psicologia DinamicamedicineGeneral Materials Sciencemedicine.symptomPsychologySocial psychologyself-injuriousadolescent peer groupmedia_commonProcedia - Social and Behavioral Sciences
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Media portrayals of transitions from work to retirement in two ageing societies : the case of ageing baby boomers in Japan and Finland

2021

This article explores media portrayals of the transition from work to retirement under the circumstances of demographic change through a focus on newspaper discussions about ageing baby boomers in Japan and Finland. Due to their shared characteristics as a distinct population group that advances the rapid ageing of the population, media representations of Japanese and Finnish baby boomers during the transitional period to retirement give insight into the social perceptions of retirement and their implications on later life. Manifest content analysis and subsequent thematic analysis identify that the topic of “work, retirement and pension” dominates media discussions in both countries. Analy…

AgingRetirementPopulation ageingjulkinen keskusteluHealth (social science)Baby boomersGeneral Arts and HumanitiesmediaGeneral Social SciencesMedia representationsGeneral MedicinePensionsikääntyminenrepresentaatioJapaneläkkeelle siirtyminenHumansLife-span and Life-course Studiessuuret ikäluokatFinlandikääntyneetAged
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Group graded algebras and almost polynomial growth

2011

Let F be a field of characteristic 0, G a finite abelian group and A a G-graded algebra. We prove that A generates a variety of G-graded algebras of almost polynomial growth if and only if A has the same graded identities as one of the following algebras: (1) FCp, the group algebra of a cyclic group of order p, where p is a prime number and p||G|; (2) UT2G(F), the algebra of 2×2 upper triangular matrices over F endowed with an elementary G-grading; (3) E, the infinite dimensional Grassmann algebra with trivial G-grading; (4) in case 2||G|, EZ2, the Grassmann algebra with canonical Z2-grading.

Algebra and Number TheoryGraded algebra Polynomial identity Growth CodimensionsMathematics::Commutative AlgebraSubalgebraUniversal enveloping algebraGrowthPolynomial identityGraded algebraCodimensionsGraded Lie algebraFiltered algebraCombinatoricsSettore MAT/02 - AlgebraDifferential graded algebraDivision algebraAlgebra representationCellular algebraMathematics
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A note on cocharacter sequence of Jordan upper triangular matrix algebra

2016

Let UJn(F) be the Jordan algebra of n × n upper triangular matrices over a field F of characteristic zero. This paper is devoted to the study of polynomial identities satisfied by UJ2(F) and UJ3(F). In particular, the goal is twofold. On one hand, we complete the description of G-graded polynomial identities of UJ2(F), where G is a finite abelian group. On the other hand, we compute the Gelfand–Kirillov dimension of the relatively free algebra of UJ2(F) and we give a bound for the Gelfand–Kirillov dimension of the relatively free algebra of UJ3(F).

Algebra and Number TheoryJordan algebraQuaternion algebraMathematics::Rings and Algebras010102 general mathematicsZero (complex analysis)Triangular matrixgrowth of algebras010103 numerical & computational mathematics01 natural sciencesgraded Jordan algebraCombinatoricsAlgebraFiltered algebraSettore MAT/02 - AlgebraDifferential graded algebraFree algebraAlgebra representationGraded identitie0101 mathematicsMathematics
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Actions of complex Lie groups on analytic ?-algebras

1987

On a reduced analytic .ℂ-algebraR there are faithful analytic actions of complex Lie groups of arbitrarily high dimension if and only ifR has Krull dimension ≥2.

AlgebraAdjoint representation of a Lie algebraRepresentation of a Lie groupGeneral MathematicsSimple Lie groupLie algebraReal formLie theoryKrull dimensionRepresentation theoryMathematicsMonatshefte f�r Mathematik
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Irreducible Representations of Periodic Finitary Linear Groups

1996

AlgebraAlgebra and Number TheoryRepresentation theory of SUIrreducible representationFinitary(gK)-moduleIrreducible elementMathematicsJournal of Algebra
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