201,275 research outputs found

    Two contributions to the representation theory of algebraic groups

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    Let V be a �nite dimensional complex vector space. A subset X in V has the separation property if the following holds: For any pair l, m of linearly independent linear functions on V there is a point x in X such that l(x) = 0 and m(x) 6= 0. We study the the case where V = C[x; y]n is an irreducible representation of SL2. The subsets we are interested in are the closures of SL2{orbits Of of forms in C[x; y]n. We give an explicit description of those orbits that have the separation property: The closure of Of has the separation property if and only if the form f contains a linear factor of multiplicity one. In the second part of this thesis we study tensor products V� V� of irreducible G{representations (where G is a reductive complex algebraic group). In general, such a tensor product is not irreducible anymore. It is a fundamental question how the irreducible components are embedded in the tensor product. A special component of the tensor product is the so-called Cartan component V�+� which is the component with the maximal highest weight. It appears exactly once in the decomposition. Another interesting subset of V� V� is the set of decomposable tensors. The following question arises in this context: Is the set of decomposable tensors in the Cartan component of such a tensor product given as the closure of the G{orbit of a highest weight vector? If this is the case we say that the Cartan component is small. We show that in general, Cartan components are small. We present what happens for G = SL2 and G = SL3 and discuss the representations of the special linear group in detail

    III. Abt., Rep. 4 - Baur, Erwin : Teil A ( ehem. Depos. v. Rosenstiel-Baur), Teil B (Depos. Stromeyer-Baur)

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    16.4.1875 - 2.12.1933 - 1893-1896 Studium der Medizin und Botanik Universität Heidelberg, Freiburg i. Br., Straßburg und Kiel, bereits als Student Assistent Botanisches Institut der Universität Kiel, dort 1900 Staatsexamen und Promotion zum Dr. med., 1900/1902 Assistent Zoologisches Institut, 1902 Assistenzarzt Psychiatrische Klinik der Universität Kiel, danach Hilfsarzt Großherzogl. Badische Heil- und Pflegeanstalt in Emmendingen, 1903 Promotion zum Dr. phil. Universität Freiburg i. Br., 1903-1911 1. Assistent Botanisches Institut der Universität Berlin, 1904 Habilitation Botanik, 1911 etatmäßiger Professor für Botanik Landwirtschaftliche Hochschule Berlin, dort 1914 Direktor des Instituts für Vererbungsforschung, 1914 Austauschprofessor Madison/USA, 1928-1933 Direktor und Wissenschaftliches Mitglied des Kaiser-Wilhelm-Instituts für Züchtungsforschung Müncheberg/Mark Brandenburg, Ehrendoktor (Buenos Aires und Uppsala). Der aus Familienbesitz stammende Nachlaß setzt sich aus zwei Teilabgaben zusammen. Das Depositum v. Rosenstiel-Baur wurde 1979, das Depositum Stromeyer-Baur 1992 dem Archiv übergeben. Der überwiegende Teil der wissenschaftlichen Unterlagen Baurs ging 1945 in Müncheberg verloren. 4A Depositum v. Rosenstiel-Baur: Baur-Biographie von Konrad v. Rauch (ungedrucktes Fragment) mit Fotos und Korrespondenz, Würdigungen und Nachrufe 1 (1933-1975), Korrespondenz 1 (1903-1933), Aufzeichnungen von Exkursionen nach Anatolien und Spanien 1 (1926-1928), Manuskripte, Sonderdrucke 6 (1911-1933), KWG 1 (1928), Zeitungsausschnitte 1 (1891-1938), Fotos, Korrespondenz des Biographen Konrad v. Rauch 1 (1935-1943). 4B Depositum Stromeyer-Baur: Unterlagen zum Lebenslauf (1891-1926), Vorträge und Veröffentlichungen (1928-1932), Nachrufe und Würdigungen (1958-1959). Vgl. hierzu: I. Abt., Rep. 1A Institutsbetreuerakten, Rep. 51; II. Abt., Rep. 1A Personalia; Vc. Abt., Rep. 4, 5 u. 9; VI. Abt.; IX. Abt., Rep. 1. I. genehmigungspflichtig, Repertorium 0,6 lfd. m, 1903-1975 II. Übernahmeliste 0,3 lfd. m, 1891-195

    Decticus verrucivorus

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    Excursion no. 2011.073 Switzerland; Province Tessin; Bedretto; Ronco; latitude, longitude: 46.49867, 8.49593; altitude 1502 m; date 03.10.2011; observed by Baur, Hannes; Ramelli, Claudi

    Gottfried Keller : geb. den 18. Juli 1819, gest. den 15. Juli 1890

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    Porträt des Schriftstellers Gottfried Keller nach rechtsM. Baur del. sc.Auf der Vorderseite des Blattes, unten rechts, handschriftliche Notizen mit Bleistift: "Holzstich 1890" und "♯25396"Signiert und datiert unten rechts: "M. Baur del. sc. 1890" Exemplar der Zentralbibliothek Zürich, Graphische Sammlung und Fotoarchi

    High speed driving with the Affine in the Force Input model

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    The AFI model is an effective representation of vehicle lateral dynamics, particularly suitable to design linear model-based trajectory tracking controllers. As already observed in the literature, however, controllers designed on the AFI model are affected at high speed by poorly damped yaw rate oscillations, that severely hamper passenger riding comfort and safety. This paper proposes a system-theoretical analysis that explains the cause of these oscillations, and opens the way to the design of an advanced gain-scheduling controller that keeps a constant desired damping ratio independently of vehicle velocity. This controller can be used as an ADAS to increase the safety and comfort of a human driven vehicle, or as the inner loop of a cascaded control architecture in an autonomous vehicle. Simulations demonstrate the effectiveness and robustness of the proposal in damping yaw rate oscillations during a critical manoeuvre, like double-lane-change, performed at different velocities

    The Excavations at Dura-Europos, P. V. C. Baur et M. I. Rostovtzeff, 1929, Preliminary Report of First Season of Work spring 1928 M. I. R. Bulletin of the Associates in fine arts at Yale University , février 1930, ρ 75-85. P. C. Baur, et M. I. Rostovtzeff, Preliminary Report of second Season of Work, October 1928- april 1929

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    Picard Charles. The Excavations at Dura-Europos, P. V. C. Baur et M. I. Rostovtzeff, 1929, Preliminary Report of First Season of Work spring 1928 M. I. R. Bulletin of the Associates in fine arts at Yale University , février 1930, ρ 75-85. P. C. Baur, et M. I. Rostovtzeff, Preliminary Report of second Season of Work, October 1928- april 1929. In: Revue des Études Grecques, tome 45, fascicule 212, Juillet-septembre 1932. pp. 333-335

    An experimentally validated LQR approach to autonomous drifting stabilization

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    This paper presents a drifting stabilizing controller for a rear-wheel-driven car, leveraging on front tyre steering angle and longitudinal force developed by rear tyres, the same control inputs available to a human driver. The proposed controller is based on a linear-quadratic regulator designed on a linearised single-track model of the vehicle, so that both longitudinal and lateral velocities along with yaw rate are stabilized. The controller has been experimentally validated on a scaled car. An extensive experimental campaign has been performed to demonstrate the robustness of this approach along with its shortcomings, that will be addressed in future works

    Pre-energizing effect on breakdown voltage test for insulating liquids

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    One of the most commonly used tests for measuring insulating liquids is the determination of dielectric breakdown voltage at 50 or 60 Hz. It is accepted worldwide that the determination of the breakdown voltage at power frequency give very useful information mainly related with moisture and particle content. However, the actual set-up recommended by IEC and ASTM have some limitations in terms of statistical scatter of mean value of the breakdown voltage. The present paper shows the influence on the scatter of the breakdown voltages (IEC 60156 Standard) if a relative low electrical field is applied before carrying out the test (pre-energizing). The application of this charging field might be capable to release free electrons into the insulating liquid and might have the effect to trigger the breakdown in a more deterministic manner. An improvement on the scatter of the mean values of the breakdown voltage may also occur by increasing the number of shots

    Human impact on the vegetation of limestone cliffs in the northern Swiss Jura mountains

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    Cliffs provide unique habitats for many specialised organisms, including chamaephytes and slowly growing trees. Drought, high temperature amplitude, scarcity of nutrients and high insolation are general characteristics of exposed limestone cliff faces. The vegetation of limestone cliffs in the Swiss Jura mountains consists of plants of arctic-alpine, continental and Mediterranean origin. Several populations exhibit relicts from post- or interglacial warm or cold climatic periods. Grazing goats and timber harvesting influenced the forests surrounding the limestone cliffs in northern Switzerland for many centuries. During the twentieth century, however, these traditional forms of forest use were abandoned. In recent years, rock climbing enjoys increasing popularity in mountain areas at low elevation, where this sport can be performed during the whole year. The limestone cliffs of the Jura mountains provide unique opportunities for sport climbers. As a consequence, more than 2000 climbing routes with fixed protection bolts have been installed on 48 rock cliffs in the region of Basel, Switzerland. Overgrowing forest, due to the abandonment of forestry and damages due to recreational activities including rock climbing reduce the quality and size of the cliff habitats. In my dissertation, I examined quantitative, spatial and temporal patterns of human impacts on the cliff flora and on the genetic population structure of two plant species on isolated cliffs in the Jura mountains of northern Switzerland. The assessment of plant cover and species density at various distances from frequently used climbing routes in the region showed that plant cover was significantly reduced at the base of climbing routes. Furthermore, species density (number of species per m2) at the cliff base as well as plant cover and species density on the cliff face tended to increase with distance from the route. The comparison of the vegetation at the cliff base and on the cliff face of five frequently climbed cliffs with that of seven unclimbed cliffs indicated that rock climbing significantly altered the plant composition. Specialised rock species occurred less frequently on climbed cliffs than on unclimbed cliffs. At the Gerstelflue, a popular recreational climbing site with rock climbing activities since more than 40 years, plant cover and species density (number of species per m2) were reduced in climbed areas. Rock climbing also reduced the density (number of individuals per m2) of forbs and shrubs, whereas the density of ferns tended to increase in climbed areas. In addition, rock climbing caused a significant shift in plant species composition and altered the proportions of different plant life forms. Species diversity and cover of lichens, and possible associations between lichens and lichen-feeding land snails were assessed in climbed and unclimbed areas of 10 isolated cliffs. Total lichen species density was not correlated with the complexity of the rock surface, climbing frequency and age of the climbing route. The species density of epilithic lichens was lower along climbing routes than in unclimbed areas, whereas no difference in species density of endolithic lichens was found between climbed and unclimbed areas. Furthermore, climbed and unclimbed areas did not differ in total lichen cover. The dissimilarity of the lichen communities between climbed and unclimbed areas increased with increasing climbing intensity on the focal route in climbed areas, but not with the age of the climbing route. Within cliffs, plots along climbing routes harboured fewer snail species and individuals than plots in unclimbed areas. The effects of forestry practices on the species richness and abundance of vascular plants on the face, at the base and on the talus have been investigated by comparing two different forestry practices (clear-cutting and shelter tree cutting) with forest reserve (i.e. no management in the past 80 years)) on three cliffs. Plant species density and vegetation cover was higher in the shelter-cut areas than in the forest reserves on the talus as well as at the cliff base. Clear-cut areas showed a higher vegetation cover than forest reserves on the talus. Shelter-cut areas harboured a larger proportion of plants with high light demands and plant indicator species showed a higher mean light score than in clear-cut areas and forest reserves. The analysis of time-series of air photographs taken between 1951 and 2000 at six cliffs revealed an increase in tree cover from 60% to 85% between 1951 and 1964 after which the increase levelled off. The increase in tree cover showed a distinct spatial pattern. It was significant in the talus and on the cliff face, but not on the plateau (at the top of the cliffs). Possible effects of isolation and the presumed colonisation history of cliffs as well as of anthropogenic activities on the genetic population structure of two plant species with different life-histories were assessed using RAPDpolymorphisms. Fourteen populations of Draba aizoides L. and 12 populations of Melica ciliata L. living on isolated limestone cliffs were examined. Analysis of molecular variance revealed a high among-population variation of each 27% in the gene pools of both species. A clear isolation-by-distance pattern and a separation of populations from the Jura mountains and the Alps were found in D. aizoides. This provides evidence for glacial relict endemism in this species, resulting from nunatak survival in the Jura mountains. In M. ciliata, UPGMA-analysis showed clusters of plant populations growing on cliffs with castles with shared historical incidents, indicating zoochorical dispersal related to human settlements. The various studies emphasise the uniqueness and vulnerability of the limestone cliff ecosystem of northern Switzerland. Protection measures in several fields of activity are needed to preserve the unique relict vascular plant, lichen and animal communities. Adequate management actions should be developed and implemented. Actions should particularly be directed to cliffs with numerous arctic-alpine plant species to protect them from mechanic disturbances by sport climbing and hiking. The prohibition of sport climbing on cliffs with a high number of specialised plant or animal species and the establishment of climbing-free protection zones in popular areas are the most effective and adequate measures in this context. However, any management plan should include a comprehensive information campaign to show the potential impact of intensive sport climbing on the specialised flora and fauna and to increase the compliance of these measures by the climbers. Forestry practices that keep the supply of light on a high level at the lower parts of the cliffs are required to preserve the relict plant species. Selective thinning on the talus results in relatively large plots with good light conditions and therefore promotes the rare, relict plant species with high light demands. Self evidentely, forestry actions and climbing prohibitions should be executed in coordination. Another measure to manage the lower parts of cliffs could be to use them as temporal pastures for goats. Finally, the preservation of mediaeval sites also connotes the conservation of plant species introduced into the area during the time of human activities
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