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Non-semisimple planar algebras from the representation theory of Ūq(sl2) Vrije Universiteit Brussel
Unique characterization of the Fourier transform in the framework of representation theory Ghent University
Quantum actions on discrete quantum spaces and a generalization of Clifford’s theory of representations Vrije Universiteit Brussel
To any action of a compact quantum group on a von Neumann algebra
which is a direct sum of factors we associate an equivalence relation corresponding
to the partition of a space into orbits of the action. We show
that in case all factors are finite-dimensional (i.e., when the action is on a
discrete quantum space) the relation has finite orbits. We then apply this
to generalize the classical theory of Clifford, ...
which is a direct sum of factors we associate an equivalence relation corresponding
to the partition of a space into orbits of the action. We show
that in case all factors are finite-dimensional (i.e., when the action is on a
discrete quantum space) the relation has finite orbits. We then apply this
to generalize the classical theory of Clifford, ...
Clifford theory for glider representations University of Antwerp
Classical Clifford theory studies the decomposition of simple G-modules into simple H-modules for some normal subgroup H aS(2) G. In this paper we deal with chains of normal subgroups 1aS(2)G (1)aS(2)center dot center dot center dot aS(2)G (d) = G, which allow to consider fragments and in particular glider representations. These are given by a descending chain of vector spaces over some field K and relate different representations of the groups ...
An Item Response Theory Analysis of The Questionnaire of God Representations KU Leuven
© 2016 Taylor & Francis. ABSTRACT: The Dutch Questionnaire of God Representations (QGR) was investigated by means of item response theory (IRT) modeling in a clinical (n = 329) and a nonclinical sample (n = 792). Through a graded response model and IRT-based differential functioning techniques, detailed item-level analyses and information about measurement invariance between the clinical and nonclinical sample were obtained. On the basis of ...
The F. Riesz Representation Theorem and finite additivity Ghent University
A positive and normalised real linear functional on the set of bounded continuous functions can be characterised as the integral of a sigma-additive probability measure, by the F. Riesz Representation Theorem. In this paper, we look at the finitely additive extensions of such a functional to the set of all bounded random variables, and prove that they are determined by Riesz' extension to lower semi-continuous functions. In doing so, we ...
Revisiting the Wittgensteinian legacy. Perspectives on representational and non-representational language-games for educational history and theory KU Leuven Ghent University
© 2015 Stichting Paedagogica Historica. Debates in science seem to depend on referential language-games, but in other senses they do not. Language works in more complex ways, even in work that purports to be purely scientific. This article investigates the scope and limitations of language-games in educational history and theory. The study addresses concepts and pictures as examples of how language can work in theoretical, philosophical and ...