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Liesche Gruppen Und Algebren by M. Krämer, J. Tits, H. Scheerer

Liesche Gruppen Und Algebren

by M. Krämer , J. Tits , H. Scheerer
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Book cover type: Paperback
  • ISBN13: 9783540125471
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 246
  • Original Price: EUR 51.39
  • Language: German
  • Edition: 2. Aufl.
  • Item Weight: 418 grams
  • BISAC Subject(s): Group Theory

I. Kapitel: Grundbegriffe.- 1. Topologische Mannigfaltigkeiten.- 2. Differenzierbare und Analytische Mannigfaltigkeiten.- 3. Topologische und Analytische Gruppen.- 4. Untergruppen.- II. Kapitel: Überlagerungstheorie.- 1. Überlagerungen.- 2. Einfacher Zusammenhang.- 3. Universelle Überlagerung und Fundamentalgruppe.- 4. Lokal Isomorphe Gruppen.- III. Kapitel: Differentialtheorie und Liesche Algebren.- 1. Allgemeines.- 2. Differentialelemente Einer Lieschen Gruppe.- 3. Der Kommutator.- 4. Liesche Algebren, Sätze von Lie.- 5. Das Zusammenspiel von Liealgebra und Liegruppe.- IV. Kapitel: Einige Struktursätze.- 1. Auflösbare Gruppen.- 2. Nilpotente Gruppen und Algebren.- 3. Halbeinfache Algebren und Gruppen.- 4. Erwähnung Einiger Weiterer Sätze über Liesche Algebren.- 5. Klassifikation der Komplexen Einfachen Liealgebren und Liegruppen.- 6. Reelle Einfache Liealgebren und Liegruppen.- Literatur.- Zeichentabelle.

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