Modules and Algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1996
|
| Schriftenreihe: | Lectures in Mathematics ETH Zürich, Department of Mathematics Research Institute of Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The notes in this volume were written as a part of a Nachdiplom course that I gave at the ETH in the summer semester of 1995. The aim of my lectures was the development of some of the basics of the interaction of homological algebra, or more specifically the cohomology of groups, and modular representation theory. Every time that I had given such a course in the past fifteen years, the choice of the material and the order of presentation of the results have followed more or less the same basic pattern. Such a course began with the fundamentals of group cohomology, and then investigated the structure of cohomology rings, and their maximal ideal spectra. Then the variety of a module was defined and related to actual module structure through the rank variety. Applications followed. The standard approach was used in my University of Essen Lecture Notes [e1] in 1984. Evens [E] and Benson [B2] have written it up in much clearer detail and included it as part of their books on the subject |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783034891899 9783764353896 |
| DOI: | 10.1007/978-3-0348-9189-9 |
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| isbn | 9783034891899 9783764353896 |
| language | English |
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| series2 | Lectures in Mathematics ETH Zürich, Department of Mathematics Research Institute of Mathematics |
| spelling | Carlson, Jon F. Verfasser aut Modules and Algebras by Jon F. Carlson Basel Birkhäuser Basel 1996 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Lectures in Mathematics ETH Zürich, Department of Mathematics Research Institute of Mathematics The notes in this volume were written as a part of a Nachdiplom course that I gave at the ETH in the summer semester of 1995. The aim of my lectures was the development of some of the basics of the interaction of homological algebra, or more specifically the cohomology of groups, and modular representation theory. Every time that I had given such a course in the past fifteen years, the choice of the material and the order of presentation of the results have followed more or less the same basic pattern. Such a course began with the fundamentals of group cohomology, and then investigated the structure of cohomology rings, and their maximal ideal spectra. Then the variety of a module was defined and related to actual module structure through the rank variety. Applications followed. The standard approach was used in my University of Essen Lecture Notes [e1] in 1984. Evens [E] and Benson [B2] have written it up in much clearer detail and included it as part of their books on the subject Mathematics Mathematics, general Mathematik https://doi.org/10.1007/978-3-0348-9189-9 Verlag Volltext |
| spellingShingle | Carlson, Jon F. Modules and Algebras Mathematics Mathematics, general Mathematik |
| title | Modules and Algebras |
| title_auth | Modules and Algebras |
| title_exact_search | Modules and Algebras |
| title_full | Modules and Algebras by Jon F. Carlson |
| title_fullStr | Modules and Algebras by Jon F. Carlson |
| title_full_unstemmed | Modules and Algebras by Jon F. Carlson |
| title_short | Modules and Algebras |
| title_sort | modules and algebras |
| topic | Mathematics Mathematics, general Mathematik |
| topic_facet | Mathematics Mathematics, general Mathematik |
| url | https://doi.org/10.1007/978-3-0348-9189-9 |
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