Quiver representations:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cham [u.a.]
Springer
2014
|
Schriftenreihe: | CMS Books in Mathematics
|
Schlagworte: | |
Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource |
ISBN: | 9783319092034 9783319092041 |
DOI: | 10.1007/978-3-319-09204-1 |
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Datensatz im Suchindex
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adam_text | QUIVER REPRESENTATIONS
/ SCHIFFLER, RALF
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PART I: QUIVERS AND THEIR REPRESENTATIONS
REPRESENTATIONS OF QUIVERS
PROJECTIVE AND INJECTIVE REPRESENTATIONS
EXAMPLES OF AUSLANDER-REITEN QUIVERS
PART II: PATH ALGEBRAS
ALGEBRAS AND MODULES
BOUND QUIVER ALGEBRAS
NEW ALGEBRAS FROM OLD
AUSLANDER-REITEN THEORY
QUADRATIC FORMS AND GABRIEL’S THEOREM
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
QUIVER REPRESENTATIONS
/ SCHIFFLER, RALF
: 2014
ABSTRACT / INHALTSTEXT
THIS BOOK IS INTENDED TO SERVE AS A TEXTBOOK FOR A COURSE IN
REPRESENTATION THEORY OF ALGEBRAS AT THE BEGINNING GRADUATE LEVEL. THE
TEXT HAS TWO PARTS. IN PART I, THE THEORY IS STUDIED IN AN ELEMENTARY
WAY USING QUIVERS AND THEIR REPRESENTATIONS. THIS IS A VERY HANDS-ON
APPROACH AND REQUIRES ONLY BASIC KNOWLEDGE OF LINEAR ALGEBRA. THE MAIN
TOOL FOR DESCRIBING THE REPRESENTATION THEORY OF A FINITE-DIMENSIONAL
ALGEBRA IS ITS AUSLANDER-REITEN QUIVER, AND THE TEXT INTRODUCES THESE
QUIVERS AS EARLY AS POSSIBLE. PART II THEN USES THE LANGUAGE OF ALGEBRAS
AND MODULES TO BUILD ON THE MATERIAL DEVELOPED BEFORE. THE EQUIVALENCE
OF THE TWO APPROACHES IS PROVED IN THE TEXT. THE LAST CHAPTER GIVES A
PROOF OF GABRIEL’S THEOREM. THE LANGUAGE OF CATEGORY THEORY IS
DEVELOPED ALONG THE WAY AS NEEDED
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Schiffler, Ralf 1968- |
author_GND | (DE-588)1060017571 |
author_facet | Schiffler, Ralf 1968- |
author_role | aut |
author_sort | Schiffler, Ralf 1968- |
author_variant | r s rs |
building | Verbundindex |
bvnumber | BV042146699 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA |
ctrlnum | (OCoLC)892074988 (DE-599)DNB1057998850 |
dewey-full | 510 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics |
dewey-raw | 510 |
dewey-search | 510 |
dewey-sort | 3510 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-319-09204-1 |
format | Electronic eBook |
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id | DE-604.BV042146699 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:13:51Z |
institution | BVB |
isbn | 9783319092034 9783319092041 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027586558 |
oclc_num | 892074988 |
open_access_boolean | |
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physical | 1 Online-Ressource |
psigel | ZDB-2-SMA |
publishDate | 2014 |
publishDateSearch | 2014 |
publishDateSort | 2014 |
publisher | Springer |
record_format | marc |
series2 | CMS Books in Mathematics |
spelling | Schiffler, Ralf 1968- Verfasser (DE-588)1060017571 aut Quiver representations Ralf Schiffler Cham [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier CMS Books in Mathematics Electronic book text https://doi.org/10.1007/978-3-319-09204-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027586558&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027586558&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
spellingShingle | Schiffler, Ralf 1968- Quiver representations |
title | Quiver representations |
title_auth | Quiver representations |
title_exact_search | Quiver representations |
title_full | Quiver representations Ralf Schiffler |
title_fullStr | Quiver representations Ralf Schiffler |
title_full_unstemmed | Quiver representations Ralf Schiffler |
title_short | Quiver representations |
title_sort | quiver representations |
url | https://doi.org/10.1007/978-3-319-09204-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027586558&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027586558&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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