3,084 research outputs found

    Generalised Temperley-Lieb algebras of type G(r,1,n)

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    In 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

    Fourier duality in the Brascamp-Lieb inequality

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    It was observed recently in work of Bez, Buschenhenke, Cowling, Flock and the first author, that the euclidean Brascamp-Lieb inequality satisfies a natural and useful Fourier duality property. The purpose of this paper is to establish an appropriate discrete analogue of this. Our main result identifies the Brascamp-Lieb constants on (finitely-generated) discrete abelian groups with Brascamp-Lieb constants on their (Pontryagin) duals. As will become apparent, the natural setting for this duality principle is that of locally compact abelian groups, and this raises basic questions about Brascamp-Lieb constants formulated in this generality

    De origine animae humanae

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    quam annuente Deo ... sub praesidio ... Ioh. Henrici Heideggeri placido eruditorum examini subiicit Hermannus Liebius Episcopicellanus, author & respondens, ad diem Septembris, loco horísque solitisDiss. Hohe Schule Zürich, 167

    On Representations Of Affine Temperley-Lieb Algebras

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    . 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

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    . 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

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    This 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]

    Towards a general theory of word formation: the Process Model

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    Foreword. The present essay—longer than a paper but shorter than a book—characterizes the Process Model of Word Formation that represents a new approach to word formation intermediate between constructionist and generative approaches; the model will be elaborated in detail in: Lieb, Hans-Heinrich (in prep.), The Process Model of Word Formation and Inflection. Amsterdam/Philadelphia: Benjamins. The essay, which is independent of the book, replaces an earlier, unpublished manuscript (Lieb 2011/2012), of which it is a completely revised and enlarged version. The essay was completed in July 2013; it is an outcome of work undertaken by the author since roughly 2006 but originating from still earlier work (first presented at a Research Colloquium held at the Freie Universität Berlin in 2001, and subsequently by a lecture read at the Annual Meeting of the Deutsche Gesellschaft für Sprachwissenschaft in 2006: Lieb 2006). The present text is an Open Access publication by the Freie Universität Berlin; it is free for downloading, but all rights remain with the author (in particular, revamping of the text or its commercial use are prohibited; quotation only with indication of the source). The Freie Universität Berlin also houses a major effort at producing book- length Open Access publications in linguistics, organized into series: Language Science Press, langsci-press.org. The present essay does not fit this framework, both for lack of a suitable series and for being shorter than a book. An Open Access format was chosen for the essay by its author for a number of reasons, most importantly, to provoke discussion (contact the author via: [email protected]). Please quote this essay as follows, together with its url: Lieb, Hans-Heinrich. 2013. Towards a general theory of word formation: the Process Model. Berlin: Freie Universität Berlin. (An Open Access publication.) The author is Full Professor (em.) of General and German Linguistics at the Freie Universität Berlin in Berlin, Germany. Berlin, July 2013 Hans-Heinrich LiebForeword. The present essay—longer than a paper but shorter than a book—characterizes the Process Model of Word Formation that represents a new approach to word formation intermediate between constructionist and generative approaches; the model will be elaborated in detail in: Lieb, Hans-Heinrich (in prep.), The Process Model of Word Formation and Inflection. Amsterdam/Philadelphia: Benjamins. The essay, which is independent of the book, replaces an earlier, unpublished manuscript (Lieb 2011/2012), of which it is a completely revised and enlarged version. The essay was completed in July 2013; it is an outcome of work undertaken by the author since roughly 2006 but originating from still earlier work (first presented at a Research Colloquium held at the Freie Universität Berlin in 2001, and subsequently by a lecture read at the Annual Meeting of the Deutsche Gesellschaft für Sprachwissenschaft in 2006: Lieb 2006). The present text is an Open Access publication by the Freie Universität Berlin; it is free for downloading, but all rights remain with the author (in particular, revamping of the text or its commercial use are prohibited; quotation only with indication of the source). The Freie Universität Berlin also houses a major effort at producing book- length Open Access publications in linguistics, organized into series: Language Science Press, langsci-press.org. The present essay does not fit this framework, both for lack of a suitable series and for being shorter than a book. An Open Access format was chosen for the essay by its author for a number of reasons, most importantly, to provoke discussion (contact the author via: [email protected]). Please quote this essay as follows, together with its url: Lieb, Hans-Heinrich. 2013. Towards a general theory of word formation: the Process Model. Berlin: Freie Universität Berlin. (An Open Access publication.) The author is Full Professor (em.) of General and German Linguistics at the Freie Universität Berlin in Berlin, Germany. Berlin, July 2013 Hans-Heinrich Lie

    Erzählte Inschriften in der Literatur des Mittelalters (Projektdatenbank)

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    Diese 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.||

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    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.|| 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
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