Coverart for item
The Resource Quiver Representations, by Ralf Schiffler, (electronic resource)

Quiver Representations, by Ralf Schiffler, (electronic resource)

Label
Quiver Representations
Title
Quiver Representations
Statement of responsibility
by Ralf Schiffler
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Schiffler, Ralf
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink (Online service)
Series statement
CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
http://library.link/vocab/subjectName
  • Mathematics
  • Algebra
  • Associative rings
  • Rings (Algebra)
  • Combinatorics
Label
Quiver Representations, by Ralf Schiffler, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-09204-1
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
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
Control code
978-3-319-09204-1
Dimensions
unknown
Extent
XI, 230 p. 357 illus.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319092041
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-09204-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086532852
Label
Quiver Representations, by Ralf Schiffler, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-09204-1
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
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
Control code
978-3-319-09204-1
Dimensions
unknown
Extent
XI, 230 p. 357 illus.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319092041
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-09204-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086532852

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