179,908 research outputs found
Generalised Temperley-Lieb algebras of type G(r,1,n)
No full textIn this paper, we define a quotient of the cyclotomic Hecke algebra of type G(r,1,n) as a generalisation of the Temperley-Lieb algebras of type A and B. We establish a graded cellular structure for the generalised Temperley-Lieb algebra and, using the technology of KLR algebras, determine the corresponding decomposition matrix
On Representations Of Affine Temperley-Lieb Algebras
No full text. We study the finite-dimensional simple modules, over an algebraically closed field, of the affine Temperley--Lieb algebra corresponding to the affine Weyl group of type A. These turn out to be closely related to the simple modules for a certain q-analogue of the annular algebra of V.F.R. Jones. 1. Introduction The Temperley--Lieb algebra is a finite-dimensional algebra which was introduced in [6] and has been extensively studied in many papers, for example [7]. In [1], the author and C.K. Fan introduced a diagram calculus for the "affine" Temperley--Lieb algebra, an infinite-dimensional algebra which is related to affine Weyl group W ( b A l ) of type A in the same way as the (ordinary) Temperley--Lieb algebras are related to the group algebras of the symmetric groups. One would like to be able to classify the finite-dimensional irreducible representations for this algebra, partly because this gives irreducible representations of the affine Hecke algebra H( b A l ) and of the corres..
Generalized Temperley-Lieb Algebras And Decorated Tangles
No full text. We give presentations, by means of diagrammatic generators and relations, of the analogues of the Temperley--Lieb algebras associated as Hecke algebra quotients to Coxeter graphs of type B and D. This generalizes Kauffman's diagram calculus for the Temperley--Lieb algebra. Keywords. Temperley--Lieb algebras, diagram calculi Introduction The Temperley--Lieb algebra is a certain finite dimensional associative algebra which first arose in [14] in the context of Potts models in statistical mechanics. As well as having applications to physics, the algebra also appears in the framework of knot theory, where it is closely related to the Jones polynomial and isotopy invariants of links. This relationship is explained in [10], where it is shown that the Temperley--Lieb algebra occurs naturally as a quotient of the Hecke algebra arising from a Coxeter system of type A. In his thesis, Graham [6] generalized this realization of the Temperley--Lieb algebra as a Hecke algebra quotient to the ca..
Teleportation-based quantum computation, extended Temperley-Lieb diagrammatical approach and Yang-Baxter equation
No full textThis paper focuses on the study of topological features in teleportation-based quantum computation and aims at presenting a detailed review on teleportation-based quantum computation (Gottesman and Chuang in Nature 402: 390, 1999). In the extended Temperley-Lieb diagrammatical approach, we clearly show that such topological features bring about the fault-tolerant construction of both universal quantum gates and four-partite entangled states more intuitive and simpler. Furthermore, we describe the Yang-Baxter gate by its extended Temperley-Lieb configuration and then study teleportation-based quantum circuit models using the Yang-Baxter gate. Moreover, we discuss the relationship between the extended Temperley-Lieb diagrammatical approach and the Yang-Baxter gate approach. With these research results, we propose a worthwhile subject, the extended Temperley-Lieb diagrammatical approach, for physicists in quantum information and quantum computation.Wuhan University [273732]SCI(E)[email protected]; [email protected]; [email protected]
Erzählte Inschriften in der Literatur des Mittelalters (Projektdatenbank)
No full textDiese Datenpublikation entstammt dem Teilprojekt C05 (»Inschriftlichkeit. Reflexionen materialer Textkultur in der Literatur des 12. bis 17. Jahrhunderts«) des Sonderforschungsbereichs 933 (»Materiale Textkulturen«, Förderzeitraum: 2011–2023). Im Rahmen des Teilprojekts wurden erzählte Inschriften in der mittelalterlichen Literatur gesammelt und auf einer Website öffentlich zugänglich gemacht. Diese Datenpublikation enthält den Datensatz, auf dem diese Website beruht. Das Projekt ist seit Ende 2023 abgeschlossen.
Als Inschrift zählt Geschriebenes, das a) nicht zu den gängigen Formen von Schriftlichkeit gehört (also nicht mit üblichen Hilfsmitteln auf Pergament und Papier geschrieben ist) und/oder Geschriebenes, b) bei dem von einer intensiven Verbindung von Inhalt und Schriftträger auszugehen ist. Der Ausgangspunkt der Sammlung sind deutschsprachige erzählte Inschriften vor 1700. In der zweiten und dritten Förderperiode des SFB (2015–2023) wurden zudem verstärkt erzählte Inschriften in altnordischen, alt- und mittelenglischen, mittellateinischen und altfranzösischen Textstellen gesammelt.
Belege für die englische und skandinavische Literatur des Mittelalters recht vollständig sein. Ebenfalls recht vollständig abgedeckt ist die deutschsprachige höfische Literatur des 12.-14. Jahrhunderts. Der Bereich der geistlichen und historiographischen Literatur wurde nicht systematisch durchgesehen.
Gesammelt wurden die Daten vom Projektleiter (Ludger Lieb), von den Projektmitarbeiter*innen (Frank Krabbes, Astrid Lembke, Michael R. Ott, Laura Velte, Philipp Friedhofen und Dennis Disselhoff), den studentischen Hilfskräften des Teilprojekts sowie von den Mercator Fellows (Gastwissenschaftler*innen): Katja Schulz (Altnordisch), Christine Neufeld (Alt- und Mittelenglisch), Christiane Conrad von Heydendorff (Altfranzösisch) und Dennis Pulina (Mittellatein). </p
Ein schön new lied/|| Senlicher schmertz/ bekrenckt || mein hertz/ Jm thon/ Tröst=||licher lieb/ ich mich stets #[et]c.||[v.(G.N.||)] Mer ein schönes lied/ Tröst=||licher lieb/ ich mich stets yeb/|| wie ich die lieb/ vnd huld || erlang eins frewleins.||
No full textEIN SCHÖN NEW LIED/|| SENLICHER SCHMERTZ/ BEKRENCKT || MEIN HERTZ/ JM THON/ TRÖST=||LICHER LIEB/ ICH MICH STETS #[ET]C.||[V.(G.N.||)] MER EIN SCHÖNES LIED/ TRÖST=||LICHER LIEB/ ICH MICH STETS YEB/|| WIE ICH DIE LIEB/ VND HULD || ERLANG EINS FREWLEINS.||
Ein schön new lied/|| Senlicher schmertz/ bekrenckt || mein hertz/ Jm thon/ Tröst=||licher lieb/ ich mich stets #[et]c.||[v.(G.N.||)] Mer ein schönes lied/ Tröst=||licher lieb/ ich mich stets yeb/|| wie ich die lieb/ vnd huld || erlang eins frewleins.|| ([1]r)
Title page ([1]r)
Text ([2]r
The Epidemiology of Generalized Anxiety Disorder in Europe
No full textContains fulltext :
54596.pdf (Publisher’s version ) (Open Access)The objective of this paper is to provide a review on available data to date on the epidemiology of GAD in Europe, and to highlight areas for future research. MEDLINE searches were performed and supplemented by consultations with experts across Europe to identify non-published reports. Despite variations in the design of studies, available data suggest that (a) about 2% of the adult population in the community is affected (12-month prevalence), (b) GAD is one of the most frequent (up to 10%) of all mental disorders seen in primary care, (c) GAD is a highly impairing condition often comorbid with other mental disorders, (d) GAD patients are high utilizers of healthcare resources, and (e) despite the high prevalence of GAD in primary care, its recognition in general practice is relatively low. Marked data deficits are: lack of data from eastern European countries, lack of information about the natural course of GAD in unselected samples, the vulnerability and risk factors involved in the aetiology of GAD and lack of data about adequate and inappropriate treatments in GAD patients as well as the associated and societal costs of GAD
Generalized Temperley-Lieb algebras for imprimitive reflection groups
No full textIn this thesis, we define a generalized Temperley-Lieb algebra corresponding to an imprimitive unitary reflection group by first defining the cyclotomic case when . We also construct a cellular structure of our generalized Temperley-Lieb algebra using a variant of the ordinary multipartitions. By doing this, we determine the irreducible representations and decomposition numbers for the cell modules when the base ring is a field of characteristic 0
Entropy and Entanglement Bounds for Reduced Density Matrices of Fermionic States
No full textUnlike bosons, fermions always have a non-trivial entanglement. Intuitively, Slater determinantal states should be the least entangled states. To make this intuition precise we investigate entropy and entanglement of fermionic states and prove some extremal and near extremal properties of reduced density matrices of Slater determinantal states
Generalised Temperley-Lieb algebras and decorated tangles.
No full textWe give presentations, by means of diagrammatic generators and relations, of the analogues of the Temperley–Lieb algebras associated as Hecke algebra quotients to Coxeter graphs of type B and D. This generalizes Kauffman's diagram calculus for the Temperley–Lieb algebra
- …
