Academic literature on the topic 'Unitarist construct'

In view of the latest T2K and MINOS observations regarding the mixing angle s13, we have explored the possibility of the existence of CP violation in the leptonic sector. Using hints from the construction of the "db" unitarity triangle in the quark sector, we have made an attempt to construct the "ν1⋅ν3" leptonic unitarity triangle, suggesting a good possibility of having nonzero CP violation.

We classify operator systems $S\subseteq \mathcal{B}(H)$ that act on finite dimensional Hilbert spaces $H$ by making use of the noncommutative Choquet boundary. $S$ is said to be reduced when its boundary ideal is $\{0\}$. In the category of operator systems, that property functions as semisimplicity does in the category of complex Banach algebras. We construct explicit examples of reduced operator systems using sequences of "parameterizing maps" $\Gamma_k: \mathsf{C}^r\to \mathcal{B}(H_k)$, $k=1,\dots, N$. We show that every reduced operator system is isomorphic to one of these, and that two sequences give rise to isomorphic operator systems if and only if they are "unitarily equivalent" parameterizing sequences. Finally, we construct nonreduced operator systems $S$ that have a given boundary ideal $K$ and a given reduced image in $C^*(S)/K$, and show that these constructed examples exhaust the possibilities.

Amplitudes used for analyses of two-body interactions very often are not unitary therefore can not guarantee correct results. It is, however, quite easy to construct unitary amplitude or check whether given amplitude fulfills unitarity condition. Only few conditions must be fulfilled to guarantee unitarity. Presently, when in many data analyses very small, overlapping or broad signals are studied, non-unitary effects can significantly influence results and lead to nonphysical interpretation of obtained parameters.

To any groupoid, equipped with a Haar system, Jean-Michel Vallin had associated several objects (pseudo-multiplicative unitary, Hopf-bimodule) in order to generalize, up to the groupoid case, the classical notions of multiplicative unitary and Hopf–von Neumann algebra, which were intensely used to construct quantum groups in the operator algebra setting. In two former articles (one in collaboration with Jean-Michel Vallin), starting from a depth-2 inclusion of von Neumann algebras, we have constructed such objects, which allowed us to study two ‘quantum groupoids’ dual to each other. We are now investigating in greater details the notion of pseudo-multiplicative unitary, following the general strategy developed by Baaj and Skandalis for multiplicative unitaries. AMS 2000 Mathematics subject classification: Primary 46L89; 22A22; 81R50

AbstractIn this paper we prove the unitarity of duals of tempered representations supported onminimal parabolic subgroups for split classical p-adic groups. We also construct a family of unitary spherical representations for real and complex classical groups.

This study notes that the lack of convergent and discriminant validity of assessment center ratings in the presence of content-related and criterion-related validity is paradoxical within a unitarian framework of validity. It also empirically demonstrates an application of generalizability theory to examining the convergent and discriminant validity of assessment center dimensional ratings. Generalizability analyses indicated that person, dimension, and person by dimension effects contribute large proportions of variance to the total variance in assessment center ratings. Alternately, exercise, rater, person by exercise, and dimension by exercise effects are shown to contribute little to the total variance. Correlational and confirmatory factor analyses results were consistent with the generalizability results. This provides strong evidence for the convergent and discriminant validity of the assessment center dimension ratings–a finding consistent with the conceptual underpinnings of the unitarian view of validity and inconsistent with previously reported results. Implications for future research and practice are discussed.

We study three properties of the ℤn⊗ℤn-symmetric lattice model; i.e. the initial condition, the unitarity and the crossing symmetry. The scalar factors appearing in the unitarity and the crossing symmetry are explicitly obtained. The [Formula: see text]-Sklyanin algebra is introduced in the natural framework of the inverse problem for this model. We build both finite- and infinite-dimensional representations of the [Formula: see text]-Sklyanin algebra, and construct an [Formula: see text] generalization of the broken ℤN model. Furthermore, the Yang-Baxter equation for this new model is proved.

Abstract Chien, Liu, Nakazato and Tam proved that all n × n classical Toeplitz matrices (one-level Toeplitz matrices) are unitarily similar to complex symmetric matrices via two types of unitary matrices and the type of the unitary matrices only depends on the parity of n. In this paper we extend their result to multilevel Toeplitz matrices that any multilevel Toeplitz matrix is unitarily similar to a complex symmetric matrix. We provide a method to construct the unitary matrices that uniformly turn any multilevel Toeplitz matrix to a complex symmetric matrix by taking tensor products of these two types of unitary matrices for one-level Toeplitz matrices according to the parity of each level of the multilevel Toeplitz matrices. In addition, we introduce a class of complex symmetric matrices that are unitarily similar to some p-level Toeplitz matrices.

We construct a minimal representation of the SO(3, 2) Kac-Moody algebra which is based on the spin-zero singleton (the Rac) representation of SO(3, 2). The representation is minimal in the sense that the central charge k of the SO(3, 2) Kac-Moody algebra is chosen to take the special value of [Formula: see text], which allows imposition of the maximum number of reducibility conditions. For the Rac, this is the unique choice for the remarkable property of maximum reducibility which is consistent with unitarity. To ensure unitarity, we furthermore impose an invariance condition under the maximal compact subalgebra SO(3) × SO(2).

We construct for the linearized Higgs model a representation of the field operators in a Hilbert space ℋ with the following features: ℋ has a positive definite metric but is nonseparable. The vacuum is gauge invariant. The gauge variant operators exist only in their exponentiated form as unitaries. There is a subspace of ℋ where [Formula: see text] is represented by 0.

Alan Fox's unitarist ideology provided a useful categorisation of managerial perspectives on managing employees and the nature of organisation. However, it was an intuitive framework, developed as part of a reformist argument for a pluralist system of industrial relations. It was not based on a systematic, empirical study of managers and, while applied to research, there has been little testing of the construct. The primary research question addressed in this thesis is whether managers in contemporary SMEs exhibit unitarist characteristics. A number of subsidiary questions follow. The first set explores managers' attitudes towards managerial prerogative, conflict, collective workplace relations and trade unions. Analysis of the data produced 11 unitarist dimensions. The second addresses whether organisational and personal characteristics and managers' perceptions of the limitations on management are significant for SME managers' ideological frameworks. The third identifies whether consultative, participative and collective practices are employed in work organisations. The definition of managerial ideology, including both managers' beliefs and values and also their workplace behaviour and practices, led to testing the relationship between the unitarist dimensions and managerial practice, and managers' satisfaction with employees. Finally, the thesis investigated whether there were any significant links between managerial practices and managers' satisfaction with employee performance. The methodology included a mail survey of SME managers in Eastern Australia with 206 respondents, and an interview programme of 20 SME managers in Brisbane, Queensland. The significant findings of this research are, first, that consultative or participative managerial practices do not necessarily reflect a pluralist ideology or orientation. SME managers limit the scope of decisions for involving employees, and usually shopfloor employees, utilising practices that do not compromise managerial power or managerial prerogative. Second, organisational and personal characteristics are relatively unimportant contextual variables in management behaviour in SMEs, unless it was described as a family business. Third, this thesis provides an alternative to the conclusions of some industrial relations scholars that managers employ a mix of unitarist and pluralist strategies. The adoption of apparently pluralist management practices in consultation and employee participation are revealed in this research as being predominantly non-threatening to managerial prerogative and organisational power structures in workplaces in terms of who is involved or excluded, and about what matters employees are consulted or involved. The overall results of managers' attitudes to collective workplace arrangements and trade unions confirm a general unitarist orientation in Australian SMEs. Fourth, the evidence does not suggest any clear binding of values and beliefs with managerial behaviour. Underpinning normative perspectives on management is an underlying commitment to protecting managers' power in the work organisation. It is this fundamental political commitment that both guides and constrains strategic choice in managing employees in SMEs. Unitarist ideology is thus central to the norms of management, and goes to the core of managerial prerogative. Finally, the results indicated that SME managers in the study usually did not demonstrate strong attachments to their views on the issues presented to them.

This chapter shows how the victors in the civil wars emulated the royalist regime by isolating enemies in island prisons. Victims of the Commonwealth and Protectorate included cavalier conspirators sent to the Isle of Wight and the Channel Islands, religious radicals held on the Isle of Wight and Scilly, and dissident army officers exiled to Jersey, Guernsey, and the Isle of Man. Revolutionary England supported a chain of offshore prisons, where inmates often likened themselves to the godly prisoners of Scripture. Sufferers included the Leveller John Lilburne, the Fifth Monarchist John Rogers, the Unitarian John Biddle, and the republican Robert Overton. Some construed their prison island as Patmos, and Oliver Cromwell’s England at Babylon.

Consideramos que en la actualidad el vacío en la creación plástica goza de una oportunidad idónea para legitimarse como categoría procesual singular. El sujeto de la hipermodernidad se mueve entre el deseo y la apariencia y las ficciones sobre las que se construye están llenas de vacíos. Estos espacios por un lado son consecuencia de unas imágenes sin referencias orientadas a saciar el hambre del deseo; y por otro constituyen el deterioro y la depresión del sujeto. Ambas orientaciones, tanto la del vacío de la imagen como la del vacío del sujeto, pueden ser corregidas desde la activación y el entendimiento del vacío como una categoría creadora. En este sentido, las estrategias artísticas de reducción, ocultación, desmaterialización y resonancia permiten hacer del vacío una práctica creadora y constructora, no solo del imaginario, sino también de la identidad. Estas estrategias contextualizan lo que hemos denominado como vacío creador, que por un lado cuestiona el vacío generado por la pérdida de la identidad, y por otro, activa el reencuentro con la imagen de la sombra que nos pertenece. El vacío así entendido, permite un reencuentro con el espacio situado entre las cosas, con el recuerdo a través de la resonancia, de la memoria de lo que el sujeto es más allá de su apariencia. Sin tocarlo, nos acerca al mundo imaginario del acontecimiento y a los fragmentos que perduran de nuestra identidad con lo real. Entendemos que esta práctica sitúa al sujeto como un ente dividido y fragmentado, contrario a toda visión del mundo unitaria y totalizadora, y por tanto, como una realidad frágil pero llena de posibilidades. El vacío creador ofrece la posibilidad al sujeto de transformarse en posibilidad, en acontecimiento. Las estrategias del vacío en el arte son la mecha para la posibilidad de la dividualización, del ser potencia.