Cargando…
Triangulated categories in the representation theory of finite dimensional algebras /
This book is an introduction to the use of triangulated categories in the study of representations of finite-dimensional algebras. In recent years representation theory has been an area of intense research and the author shows that derived categories of finite-dimensional algebras are a useful tool...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1988.
|
| Colección: | London Mathematical Society lecture note series ;
119. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn839303205 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 130415s1988 enk ob 001 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d E7B |d OCLCF |d YDXCP |d OCLCQ |d AGLDB |d OCLCQ |d OCLCO |d UAB |d OCLCQ |d VTS |d REC |d OCLCO |d STF |d OCLCA |d M8D |d OCLCO |d UKAHL |d OCLCO |d VLY |d OCLCO |d OCLCQ |d OCLCO |d OCL |d OCLCQ |d OCLCO | ||
| 019 | |a 708564095 |a 1162575478 |a 1241818709 |a 1242477711 | ||
| 020 | |a 9781107361362 |q (electronic bk.) | ||
| 020 | |a 1107361362 |q (electronic bk.) | ||
| 020 | |a 9780511892271 |q (e-book) | ||
| 020 | |a 0511892276 |q (e-book) | ||
| 020 | |a 1139881760 | ||
| 020 | |a 9781139881760 | ||
| 020 | |a 1107366275 | ||
| 020 | |a 9781107366275 | ||
| 020 | |a 1107368448 | ||
| 020 | |a 9781107368446 | ||
| 020 | |a 1299404065 | ||
| 020 | |a 9781299404069 | ||
| 020 | |a 1107363810 | ||
| 020 | |a 9781107363816 | ||
| 020 | |a 0511629222 | ||
| 020 | |a 9780511629228 | ||
| 020 | |z 0521339227 | ||
| 020 | |z 9780521339223 | ||
| 029 | 1 | |a DEBBG |b BV043066640 | |
| 029 | 1 | |a DEBSZ |b 421267321 | |
| 029 | 1 | |a GBVCP |b 804553831 | |
| 035 | |a (OCoLC)839303205 |z (OCoLC)708564095 |z (OCoLC)1162575478 |z (OCoLC)1241818709 |z (OCoLC)1242477711 | ||
| 050 | 4 | |a QA169 |b .H36 1988eb | |
| 072 | 7 | |a MAT |x 002050 |2 bisacsh | |
| 082 | 0 | 4 | |a 512/.55 |2 22 |
| 084 | |a 31.23 |2 bcl | ||
| 084 | |a 31.27 |2 bcl | ||
| 084 | |a *16Gxx |2 msc | ||
| 084 | |a 16-02 |2 msc | ||
| 084 | |a 16B50 |2 msc | ||
| 084 | |a 16D50 |2 msc | ||
| 084 | |a 16E10 |2 msc | ||
| 084 | |a 16Exx |2 msc | ||
| 084 | |a 16P10 |2 msc | ||
| 084 | |a 18-02 |2 msc | ||
| 084 | |a 18E30 |2 msc | ||
| 084 | |a SI 320 |2 rvk | ||
| 084 | |a SK 260 |2 rvk | ||
| 084 | |a SK 320 |2 rvk | ||
| 084 | |a MAT 162f |2 stub | ||
| 084 | |a MAT 180f |2 stub | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Happel, Dieter, |d 1953- | |
| 245 | 1 | 0 | |a Triangulated categories in the representation theory of finite dimensional algebras / |c Dieter Happel. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1988. | ||
| 300 | |a 1 online resource (208 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 lecture note series ; |v 119 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a This book is an introduction to the use of triangulated categories in the study of representations of finite-dimensional algebras. In recent years representation theory has been an area of intense research and the author shows that derived categories of finite-dimensional algebras are a useful tool in studying tilting processes. Results on the structure of derived categories of hereditary algebras are used to investigate Dynkin algebras and interated tilted algebras. The author shows how triangulated categories arise naturally in the study of Frobenius categories. The study of trivial extension algebras and repetitive algebras is then developed using the triangulated structure on the stable category of the algebra's module category. With a comprehensive reference section, algebraists and research students in this field will find this an indispensable account of the theory of finite-dimensional algebras. | ||
| 505 | 0 | |a Cover; Title; Copyright; Contents; Preface; CHAPTER I: Triangulated categories; 1. Foundations; 2. Frobenius categories; 3. Examples; 4. Auslander-Reiten triangles; 5. Description of some derived categories; CHAPTER II: Repetitive algebras; 1. t-categories; 2. Repetitive algebras; 3. Generating subcategories; 4. The main theorem; 5. Examples; CHAPTER III: Tilting theory; 1. Grothendieck groups of triangulated categories; 2. The invariance property; 3. The Brenner-Butler Theorem; 4. Torsion theories; 5. Tilted algebras; 6. Partial tilting modules; 7. Concealed algebras | |
| 505 | 8 | |a CHAPTER IV: Piecewise hereditary algebras1. Piecewise hereditary algebras; 2. Cycles in mod kZ?; 3. The representation-finite case; 4. Iterated tilted algebras; 5. The general case; 6. The Dynkin case; 7. The affine case; CHAPTER V: Trivial extension algebras; 1. Preliminaries; 2. The representation-finite case; 3. The representation-infinite case; References; Index | |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Triangulated categories. | |
| 650 | 0 | |a Representations of algebras. | |
| 650 | 0 | |a Modules (Algebra) | |
| 650 | 0 | |a Categories (Mathematics) | |
| 650 | 6 | |a Catégories (Mathématiques) | |
| 650 | 6 | |a Représentations des algèbres. | |
| 650 | 6 | |a Modules (Algèbre) | |
| 650 | 6 | |a Catégories triangulées. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Linear. |2 bisacsh | |
| 650 | 7 | |a Categories (Mathematics) |2 fast | |
| 650 | 7 | |a Modules (Algebra) |2 fast | |
| 650 | 7 | |a Representations of algebras |2 fast | |
| 650 | 7 | |a Triangulated categories |2 fast | |
| 650 | 7 | |a Algebra |2 gnd | |
| 650 | 7 | |a Darstellungstheorie |2 gnd | |
| 650 | 7 | |a Dimension n |2 gnd | |
| 650 | 7 | |a Kategorie |g Mathematik |2 gnd | |
| 650 | 7 | |a Triangulation |2 gnd | |
| 650 | 1 | 7 | |a Categorieën (wiskunde) |2 gtt |
| 650 | 1 | 7 | |a Associatieve ringen. |2 gtt |
| 650 | 7 | |a Algebra associativa. |2 larpcal | |
| 650 | 7 | |a Algebra homologica. |2 larpcal | |
| 650 | 7 | |a Représentations d'algèbres. |2 ram | |
| 650 | 7 | |a Modules (algèbre) |2 ram | |
| 650 | 7 | |a Catégories (mathématiques) |2 ram | |
| 655 | 4 | |a Triangulierte Kategorie. | |
| 776 | 0 | 8 | |i Print version: |a Happel, Dieter, 1953- |t Triangulated categories in the representation theory of finite dimensional algebras. |d Cambridge ; New York : Cambridge University Press, 1988 |z 0521339227 |w (DLC) 87030100 |w (OCoLC)16921558 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 119. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552393 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH13428034 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH26385048 | ||
| 938 | |a ebrary |b EBRY |n ebr10441846 | ||
| 938 | |a EBSCOhost |b EBSC |n 552393 | ||
| 938 | |a YBP Library Services |b YANK |n 10370295 | ||
| 938 | |a YBP Library Services |b YANK |n 10407390 | ||
| 994 | |a 92 |b IZTAP | ||