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Induced modules over group algebras /
In 1898 Frobenius discovered a construction which, in present terminology, associates with every module of a subgroup the induced module of a group. This construction proved to be of fundamental importance and is one of the basic tools in the entire theory of group representations. This monograph is...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York, N.Y., U.S.A. :
North-Holland ; Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1990.
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| Colección: | North-Holland mathematics studies ;
161. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 100 | 1 | |a Karpilovsky, Gregory, |d 1940- | |
| 245 | 1 | 0 | |a Induced modules over group algebras / |c Gregory Karpilovsky. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York, N.Y., U.S.A. : |b Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |c 1990. | ||
| 300 | |a 1 online resource (xi, 520 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland mathematics studies ; |v 161 | |
| 520 | |a In 1898 Frobenius discovered a construction which, in present terminology, associates with every module of a subgroup the induced module of a group. This construction proved to be of fundamental importance and is one of the basic tools in the entire theory of group representations. This monograph is designed for research mathematicians and advanced graduate students and gives a picture of the general theory of induced modules as it exists at present. Much of the material has until now been available only in research articles. The approach is not intended to be encyclopedic, rather each topic is considered in sufficient depth that the reader may obtain a clear idea of the major results in the area. After establishing algebraic preliminaries, the general facts about induced modules are provided, as well as some of their formal properties, annihilators and applications. The remaining chapters include detailed information on the process of induction from normal subgroups, projective summands of induced modules, some basic results of the Green theory with refinements and extensions, simple induction and restriction pairs and permutation modules. The final chapter is based exclusively on the work of Weiss, presenting a number of applications to the isomorphism problem for group rings. | ||
| 504 | |a Includes bibliographical references (pages 499-510) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Preliminaries -- General properties of induced modules -- Induction from normal subgroups -- Projective summands of induced modules -- Green theory -- Simple induction and restriction pairs -- Permutation modules -- Permutation lattices. | |
| 650 | 0 | |a Group algebras. | |
| 650 | 0 | |a Modules (Algebra) | |
| 650 | 6 | |a Alg�ebres de groupes. |0 (CaQQLa)201-0056233 | |
| 650 | 6 | |a Modules (Alg�ebre) |0 (CaQQLa)201-0015282 | |
| 650 | 7 | |a MATHEMATICS |x Group Theory. |2 bisacsh | |
| 650 | 7 | |a Group algebras |2 fast |0 (OCoLC)fst00948369 | |
| 650 | 7 | |a Modules (Algebra) |2 fast |0 (OCoLC)fst01024523 | |
| 650 | 7 | |a Alg�ebres de groupes. |2 ram | |
| 650 | 7 | |a Modules (Alg�ebre) |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Karpilovsky, Gregory, 1940- |t Induced modules over group algebras. |d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1990 |z 0444884149 |z 9780444884145 |w (DLC) 89049199 |w (OCoLC)20800574 |
| 830 | 0 | |a North-Holland mathematics studies ; |v 161. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444884145 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=03040208&volume=161 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/03040208/161 |z Texto completo |