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Über die Struktur der Solomon-Tits-Algebren der symmetrischen Gruppen: Eine Analyse assoziativer, gruppentheoretischer und Lie-theoretischer Phänomene; mit 218 Übungsaufgaben

Über die Struktur der Solomon-Tits-Algebren der symmetrischen Gruppen: Eine Analyse assoziativer, gruppentheoretischer und Lie-theoretischer Phänomene; mit 218 Übungsaufgaben

          
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About the Book

Das vorliegende Buch beschäftigt sich mit der Struktur der Solomon-Tits-Algebren der symmetrischen Gruppen motiviert durch Forschungsergebnisse von Manfred Schocker zur Modulstruktur dieser Algebren. Mit Struktur sind hier gleichsam drei Strukturen gemeint: die assoziative, die der zugehörigen Einheitengruppe und die der assoziierten Lie-Algebra. Im Laufe des Buches wird verdeutlicht, dass diese Strukturen in Beziehung stehen und deren Analyse in dem allgemeineren Rahmen von assoziativen Algebren mit selbstzentralem Radikalkomplement durchgeführt werden kann. Konkret werden u. a. folgende Thematiken analysiert: Dimensionsformeln, Zusammenhang zu Duo-Algebren, Selbstzentralität der Radikalkomplemente, Cartan-Teilalgebren, Sylow-Untergruppen, Hall-Untergruppen, Carter-Untergruppen, Stagnation von Zentralreihen, auflösbare Stufen und Nilpotenzklassen, Nilradikal und Fittinguntergruppe, halbeinfache und einfache Teilstrukturen, Antiautomorphismen sowie irreduzible Charakterwerte.
About the Author: Sven Bodo Wirsing wurde 1975 in Neumunster geboren. Nach dem Abitur an der KKS in Itzehoe (mit Schwerpunkt Mathematik und Physik) studierte er Mathematik mit dem Nebenfach BWL (insbesondere Logistik) an der CAU zu Kiel. Seine Promotion beendet er 2005 als Dr. rer. nat. in Gruppen- und Algebrentheorie. In der Arbeitsgruppe Algebrentheorie" sammelte er Erfahrungen in der Analyse strukturubergreifender Prozesse, die sich zwischen verschiedenen Disziplinen der Algebra wie etwa Gruppen-, Darstellungs-, Lie- und assoziativer Algebrentheorie widerspiegeln. Aus dieser Erfahrung heraus studierte und analysierte er auch die Thematik des vorliegenden Werkes. Seit Beendigung seiner Promotion arbeitet Dr. Wirsing als Senior-IT-Berater fur Logistik-Prozesse bei der Brandt&Partner GmbH, und er ist dort u.a. fur die Logistik-Optimierung und -Betreuung bei FRESENIUS NETCARE zustandig. Seit 2012 hat er begonnen, mathematische Fachliteratur zum Thema Algebren zu veroffentlichen."


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Product Details
  • ISBN-13: 9783959351607
  • Publisher: Disserta Verlag
  • Binding: Paperback
  • Language: German
  • Returnable: N
  • Spine Width: 11 mm
  • Weight: 245 gr
  • ISBN-10: 3959351607
  • Publisher Date: 10 Nov 2015
  • Height: 210 mm
  • No of Pages: 200
  • Series Title: German
  • Sub Title: Eine Analyse assoziativer, gruppentheoretischer und Lie-theoretischer Phänomene; mit 218 Übungsaufgaben
  • Width: 148 mm


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Über die Struktur der Solomon-Tits-Algebren der symmetrischen Gruppen: Eine Analyse assoziativer, gruppentheoretischer und Lie-theoretischer Phänomene; mit 218 Übungsaufgaben
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Über die Struktur der Solomon-Tits-Algebren der symmetrischen Gruppen: Eine Analyse assoziativer, gruppentheoretischer und Lie-theoretischer Phänomene; mit 218 Übungsaufgaben
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Über die Struktur der Solomon-Tits-Algebren der symmetrischen Gruppen: Eine Analyse assoziativer, gruppentheoretischer und Lie-theoretischer Phänomene; mit 218 Übungsaufgaben

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