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" Modules and group algebras / "
Jon F. Carlson ; notes by Ruedi Suter.
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BL
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| Record Number
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978587
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b732957
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| Main Entry
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Carlson, J. F.
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| Title & Author
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Modules and group algebras /\ Jon F. Carlson ; notes by Ruedi Suter.
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| Publication Statement
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Basel ;Boston :: Birkhäuser Verlag,, ©1996.
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| Series Statement
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Lectures in mathematics ETH Zürich
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xi, 91 pages :: illustrations ;; 24 cm
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| ISBN
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0817653899
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: 3764353899
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: 9780817653897
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: 9783764353896
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| Bibliographies/Indexes
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Includes bibliographical references (page 85) and index.
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| Contents
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1. Augmentations, nilpotent ideals, and semisimplicity -- 2. Tensor products, Homs, and duality -- 3. Restriction and induction -- 4. Projective resolutions and cohomology -- 5. The stable category -- 6. Products in cohomology -- 7. Examples and diagrams -- 8. Relative projectivity -- 9. Relative projectivity and ideals in cohomology -- 10. Varieties and modules -- 11. Infinitely generated modules -- 12. Idempotent modules -- 13. Varieties and induced modules.
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| Abstract
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These notes grew out of a Nachdiplom course given at the ETH Zurich in the summer semester of 1995. They aim at the development of some of the basics of the interaction of homological algebra, or more specifically the cohomology of groups, and modular representation theory. The book presents an entirely new approach to the subject based on the recent development in this field. Basically the shift has been towards a much more categorical view of representation theory, and an expansion of the viewpoint to include infinitely generated modules as well as the finitely generated ones. Some of the constructions in the category of all modules have had new and original applications for the category of finitely generated modules. This introduction to a fresh view of the module theory for finite groups is of interest to students and researchers in homotopy theory and group actions as well as the representation theory of finite groups.
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| Subject
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Modul
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Group algebras.
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Modules (Algebra)
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Algebra, Homological.
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Algèbres de groupes.
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Group algebras.
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Gruppenring
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Modules (Algebra)
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Modules (Algebra)
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Modules (algèbre)
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Modul.
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| Dewey Classification
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512/.4
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| LC Classification
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QA247.3.C37 1996
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| NLM classification
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20C05msc
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20C20msc
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SK 230rvk
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SK 260rvk
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| Added Entry
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Suter, Ruedi.
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