2,624 research outputs found

    Die Berechnung der Ehegrade : Mit zwey und dreysig Kupfertafeln

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    Gezeigt von M. Philipp Ulrich Moser, Pfarrer zu Dettingen, Heidenheimer HerrschaftAutopsie nach Ex. der ULB Sachsen-AnhaltVorlageform des Erscheinungsvermerks: Stuttgart, in der Erhardischen Buchhandlung. 1786.In Fraktu

    Computational aspects of Calogero-Moser spaces

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    International audienceWe present a series of algorithms for computing geometric and representationtheoretic invariants of Calogero-Moser spaces and rational Cherednik algebras associated with complex reflection groups. Especially, we are concerned with Calogero-Moser families (which correspond to the C×{\mathbb{C}}^\times-fixed points of the Calogero-Moser space) and cellular characters (a proposed generalization by Rouquier and the first author of Lusztig's constructible characters based on a Galois covering of the Calogero-Moser space). To compute the former, we devised an algorithm for determining generators of the center of the rational Cherednik algebra (this algorithm has several further applications), and to compute the latter we developed an algorithmic approach to the construction of cellular characters via Gaudin operators. We have implemented all our algorithms in the Cherednik Algebra Magma Package (CHAMP) by the second author and used this to confirm open conjectures in several new cases. As an interesting application in birational geometry we are able to determine for many exceptional complex reflection groups the chamber decomposition of the movable cone of a Q-factorial terminalization (and thus the number of non-isomorphic relative minimal models) of the associated symplectic singularity

    Computational aspects of Calogero-Moser spaces

    No full text
    We present a series of algorithms for computing geometric and representation-theoretic invariants of Calogero-Moser spaces and rational Cherednik algebras associated to complex reflection groups. Especially, we are concerned with Calogero-Moser families (which correspond to the C×\mathbb{C}^\times-fixed points of the Calogero-Moser space) and cellular characters (a proposed generalization by Rouquier and the first author of Lusztig's constructible characters based on a Galois covering of the Calogero-Moser space). To compute the former, we devised an algorithm for determining generators of the center of the rational Cherednik algebra (this algorithm has several further applications), and to compute the latter we developed an algorithmic approach to the construction of cellular characters via Gaudin operators. We have implemented all our algorithms in the Cherednik Algebra Magma Package (CHAMP) by the second author and used this to confirm open conjectures in several new cases. As an interesting application in birational geometry we are able to determine for many exceptional complex reflection groups the chamber decomposition of the movable cone of a Q\mathbb{Q}-factorial terminalization (and thus the number of non-isomorphic relative minimal models) of the associated symplectic singularity.Comment: 42 page

    Tractatio Iuris Publici De Serenissimis Potentissimisque Ducibus Brunsvicensibus Et Luneburgensibus / D.O.M.A. Praeside ... Dn. Joh. Ulrico Pregizero ... In Illustri Collegio Ad Diem 10. Decembr. Placido Eruditorum Examini sistit Author Christian Ulrich Blum

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    TRACTATIO IURIS PUBLICI DE SERENISSIMIS POTENTISSIMISQUE DUCIBUS BRUNSVICENSIBUS ET LUNEBURGENSIBUS / D.O.M.A. PRAESIDE ... DN. JOH. ULRICO PREGIZERO ... IN ILLUSTRI COLLEGIO AD DIEM 10. DECEMBR. PLACIDO ERUDITORUM EXAMINI SISTIT AUTHOR CHRISTIAN ULRICH BLUM Tractatio Iuris Publici De Serenissimis Potentissimisque Ducibus Brunsvicensibus Et Luneburgensibus / D.O.M.A. Praeside ... Dn. Joh. Ulrico Pregizero ... In Illustri Collegio Ad Diem 10. Decembr. Placido Eruditorum Examini sistit Author Christian Ulrich Blum (1) Titelblatt (1) Prooemium. (3) Caput I. (5) Caput II. (9) Caput III. (12) Caput IV. (22) Caput V. (29) Caput VI. (47) I. - V. (54

    Zahlungsmethoden für Online-Shops: Eine Studie zum Einsatz in der Schweiz und daraus abgeleitete Entscheidungskriterien für die Auswahl

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    Das Thema "E-Business" ist an der FHBB ein thematischer Schwerpunkt, zu dem am Institut für angewandte Betriebsökonomie (IAB) ein "Kompetenzzentrum E-Business" geschaffen wurde. In diesem Kompetenzzentrum arbeiten 10 Mitarbeiter in Forschungs- und Dienstleistungsprojekten mit Wirtschaftspartnern an aktuellen Fragestellungen im E-Business. Um den Transfer zwischen Lehre und Forschung sicherzustellen, unterrichten Mitarbeiter des IAB in verschiedenen Lehrveranstaltungen des betriebsökonomischen Studiengangs. Zudem werden jedes Jahr aktuelle E-Business-Themen als Diplomarbeiten ausgeschrieben.Die Erhebung zu ?Zahlungsmethoden für Online-Shops? wurde im Sommer 2003 von Herrn Ulrich Moser durchgeführt. Die Auswertung der Ergebnisse wurde inhaltlich und wissenschaftlich betreut von Petra Schubert und Hanspeter Knechtli. Die Arbeit entstand aufgrund von Literaturrecherchen und Telefoninterviews mit E-Shop-Verantwortlichen

    Cuspidal Calogero-Moser and Lusztig families for Coxeter groups

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    The goal of this paper is to compute the cuspidal Calogero–Moser families for all infinite families of finite Coxeter groups, at all parameters. We do this by first computing the symplectic leaves of the associated Calogero–Moser space and then by classifying certain “rigid” modules. Numerical evidence suggests that there is a very close relationship between Calogero–Moser families and Lusztig families. Our classification shows that, additionally, the cuspidal Calogero–Moser families equal cuspidal Lusztig families for the infinite families of Coxeter groups

    Die Berechnung der Ehegrade : Mit zwey und dreysig Kupfertafeln / Gezeigt von M. Philipp Ulrich Moser, Pfarrer zu Dettingen, Heidenheimer Herrschaft

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    Autopsie nach Ex. der ULB Sachsen-AnhaltVorlageform des Erscheinungsvermerks: Stuttgart, in der Erhardischen Buchhandlung. 1786.In Fraktur32 graph. Darst.. (Kupferst.
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