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Algebren Und Darstellungstheorie by Karin Erdmann

Algebren Und Darstellungstheorie

by Karin Erdmann , Thorsten Holm
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Book cover type: Paperback
  • ISBN13: 9783031711831
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer Spektrum
  • Publisher Imprint: Springer Spektrum
  • Publication Date:
  • Pages: 317
  • Original Price: EUR 37.374
  • Language: German
  • Edition: 2024
  • Item Weight: 468 grams
  • BISAC Subject(s): Algebra / Abstract

1 Algebren.- 2 Moduln und Darstellungen.- 3 Einfache Moduln und der Satz von JordanHölder.- 4 Halbeinfache Moduln und halbeinfache Algebren.- 5 Die Struktur von halbeinfachen Algebren: Satz von ArtinWedderburn.- 6 Halbeinfache Gruppenalgebren und der Satz von Maschke.- 7 Unzerlegbare Moduln.- 8 Darstellungstyp.- 9 Darstellungen von Köchern.- 10 Diagramme und Wurzeln.- 11 Der Satz von Gabriel.- 12 Beweise und Hintergrund.- A Induzierte Moduln für Gruppenalgebren.- B Lösungen zu ausgewählten Übungen.

Karin Erdmanns Forschungsschwerpunkt liegt auf der Darstellungstheorie endlicher Gruppen und endlicher-dimensionaler Algebren. Sie hat viele Forschungsartikel geschrieben und ist Autorin einer Forschungsmonographie und eines Lehrbuchs.

Thorsten Holm ist Professor für Mathematik an der Leibniz Universität Hannover. Seine Forschungsinteressen umfassen die Darstellungstheorie endlicher Gruppen und endlicher-dimensionaler Algebren sowie die algebraische Kombinatorik.

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