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After a short review of background material, three closely connected topics in modular representation theory of finite groups are treated: representations rings, almost split sequences and the Auslander-Reiten quiver, complexity and cohomology varieties. The last of these has become a major theme in representation theory into the 21st century.
Some of this material was incorporated into the author's 1991 two-volume Representations and Cohomology, but nevertheless Modular Representation Theory remains a useful introduction.
After a short review of background material, three closely connected topics in modular representation theory of finite groups are treated: representations rings, almost split sequences and the Auslander-Reiten quiver, complexity and cohomology varieties. The last of these has become a major theme in representation theory into the 21st century.
Some of this material was incorporated into the author's 1991 two-volume Representations and Cohomology, but nevertheless Modular Representation Theory remains a useful introduction.
Reprint of lectures for a seminal 1983 Yale graduate course
Reviews background material in cohomology, and tackles more advanced concepts
Still a useful introduction to representations rings, almost split sequences and the Auslander-Reiten quiver, complexity and cohomology varieties
Erscheinungsjahr: | 1984 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Reihe: | Lecture Notes in Mathematics |
Inhalt: |
xii
231 S. |
ISBN-13: | 9783540133896 |
ISBN-10: | 3540133895 |
Sprache: | Englisch |
Herstellernummer: | 10149725 |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Benson, D. |
Hersteller: |
Springer-Verlag GmbH
Springer Berlin Heidelberg Lecture Notes in Mathematics |
Maße: | 233 x 155 x 14 mm |
Von/Mit: | D. Benson |
Erscheinungsdatum: | 01.09.1984 |
Gewicht: | 0,379 kg |
Reprint of lectures for a seminal 1983 Yale graduate course
Reviews background material in cohomology, and tackles more advanced concepts
Still a useful introduction to representations rings, almost split sequences and the Auslander-Reiten quiver, complexity and cohomology varieties
Erscheinungsjahr: | 1984 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Reihe: | Lecture Notes in Mathematics |
Inhalt: |
xii
231 S. |
ISBN-13: | 9783540133896 |
ISBN-10: | 3540133895 |
Sprache: | Englisch |
Herstellernummer: | 10149725 |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Benson, D. |
Hersteller: |
Springer-Verlag GmbH
Springer Berlin Heidelberg Lecture Notes in Mathematics |
Maße: | 233 x 155 x 14 mm |
Von/Mit: | D. Benson |
Erscheinungsdatum: | 01.09.1984 |
Gewicht: | 0,379 kg |