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Elements of the representation theory of associative algebras. Volume 1, Techniques of representation theory /
This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological al...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
©2006.
|
| Colección: | London Mathematical Society student texts ;
65. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn183000619 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
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| 008 | 071207s2006 enk fob 001 0 eng d | ||
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| 100 | 1 | |a Assem, Ibrahim., |e author. | |
| 245 | 1 | 0 | |a Elements of the representation theory of associative algebras. |n Volume 1, |p Techniques of representation theory / |c Ibrahim Assem, Daniel Simson, Andrzej Skowroński. |
| 264 | 1 | |a Cambridge ; |a New York : |b Cambridge University Press, |c ©2006. | |
| 300 | |a 1 online resource (ix, 458 pages) | ||
| 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 London Mathematical Society student texts ; |v 65 | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained treatment constitutes an elementary, up-to-date introduction to the subject using, on the one hand, quiver-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this work suitable both for courses and seminars, and for self-study. The volume will be of great interest to graduate students beginning research in the representation theory of algebras and to mathematicians from other fields. | ||
| 505 | 0 | |a Cover; Title; Copyright; Contents; Introduction; Chapter I Algebras and modules; Chapter II Quivers and algebras; Chapter III Representations and modules; Chapter IV Auslander-Reiten theory; Chapter V Nakayama algebras and representation-finite group algebras; Chapter VI Tilting theory; Chapter VII Representation-finite hereditary algebras; Chapter VIII Tilted algebras; Chapter IX Directingmodules and postprojective components; Appendix A Categories, functors, and homology; Bibliography; Index; List of symbols | |
| 588 | 0 | |a Description based on online resource; title from PDF title page (viewed May 5, 2020). | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Associative algebras. | |
| 650 | 0 | |a Representations of algebras. | |
| 650 | 6 | |a Algèbres associatives. | |
| 650 | 6 | |a Représentations des algèbres. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Associative algebras. |2 fast |0 (OCoLC)fst00819227 | |
| 650 | 7 | |a Representations of algebras. |2 fast |0 (OCoLC)fst01094934 | |
| 700 | 1 | |a Simson, Daniel. | |
| 700 | 1 | |a Skowroński, Andrzej. | |
| 776 | 0 | 8 | |i Print version: |a Assem, Ibrahim. |t Elements of the representation theory of associative algebras. Volume 1, Techniques of representation theory. |d Cambridge ; New York : Cambridge University Press, ©2006 |z 052158423X |z 9780521584234 |w (OCoLC)68762944 |
| 830 | 0 | |a London Mathematical Society student texts ; |v 65. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=208618 |z Texto completo |
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| 938 | |a EBSCOhost |b EBSC |n 208618 | ||
| 938 | |a YBP Library Services |b YANK |n 2742896 | ||
| 994 | |a 92 |b IZTAP | ||