Beiträge Zur Geometrischen Algebra: Proceedings Des Symposiums Über Geometrische Algebra Vom 29 März Bis 3. April 1976 in Duisburg
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Vom 29. 3. bis 3. 4. 1976 fand in Duisburg das Symposion über Geometrische Algebra statt, zu dem sich Vertreter der verschiedenen Forschungsrichtungen aus dem Bereich der Grundlagen der Geometrie und verwandter Gebiete trafen, um über den Stand ihrer Arbeiten vorzutragen und zu diskutieren. Da die moderne geometrische Grundlagenforschung weitreichende formale Verfügbarkeit und Anwendbarkeit ihrer Ergebnisse anstrebt, und so die axio- matische Analyse der Anschauung betreibt, um vielen mathematischen Prob- lemkreisen die geometrische Intuition zugänglich zu machen, bedarf sie stets auch algebraischer Hilfe und Entsprechung. Daher wurde der Terminus "Geometrische Algebra" als die den verschiedenen speziellen Zielrichtungen gemeinsame Methode der heutigen Grundlagen der Geometrie zum Leitmotiv des Symposions gewählt. Wir danken den Vortragenden für ihre Beiträge und dem Verlag Birkhäuser für die entgegenkommende Zusammenarbeit. Duisburg, 1976 Inhaltsverzeichnis J. Andre: Über verschiedene Klassen von Unterräumen in Räumen mit nichtkommutativer Verbindung 11 H. -J. Arnold: Zur Algebraisierung allgemeiner affiner und zugehöriger projektiver Strukturen mit Hilfe eines vektoriellen Kalküls 25 I. Becker: Methoden zur Bestimmung geometrisch äquivalenter Gruppen 31 W. Benz: Kennzeichnungen von Lorentztransformationen 41 D. Betten: Cl-Wirkungen der hyperbolischen Bewegungsgruppe 43 B. Biedermann: Das Isomorphieproblem bei projektiven Ebenen über eigentlichen assoziativen cartesischen Gruppen 51 L. Bröcker: Über die Anzahl der Anordnungen eines kommutativen Körpers 59 W. Burau: Über die irreduziblen Darstellungen der klassischen Gr- pen und die zugehörigen Grundmannigfaltigkeiten 63 P. M. Cohn: Zum Begriff der Spezialisierung über Schiefkörpern 73 K. J. Dienst: Kennzeichnung hermitescher Quadriken durch Spieg- ungen 83 E.
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