The Resource Homological Methods, Representation Theory, and Cluster Algebras, edited by Ibrahim Assem, Sonia Trepode, (electronic resource)

Homological Methods, Representation Theory, and Cluster Algebras, edited by Ibrahim Assem, Sonia Trepode, (electronic resource)

Label
Homological Methods, Representation Theory, and Cluster Algebras
Title
Homological Methods, Representation Theory, and Cluster Algebras
Statement of responsibility
edited by Ibrahim Assem, Sonia Trepode
Contributor
Editor
Provider
Subject
Language
eng
Summary
This text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theory of cluster algebras. The interplay between the topics discussed in this text will continue to grow and this collection of courses stands as a partial testimony to this new development. The courses are useful for any mathematician who would like to learn more about this rapidly developing field; the primary aim is to engage graduate students and young researchers. Prerequisites include knowledge of some noncommutative algebra or homological algebra. Homological algebra has always been considered as one of the main tools in the study of finite-dimensional algebras. The strong relationship with cluster algebras is more recent and has quickly established itself as one of the important highlights of today’s mathematical landscape. This connection has been fruitful to both areas—representation theory provides a categorification of cluster algebras, while the study of cluster algebras provides representation theory with new objects of study. The six mini-courses comprising this text were delivered March 7–18, 2016 at a CIMPA (Centre International de Mathématiques Pures et Appliquées) research school held at the Universidad Nacional de Mar del Plata, Argentina. This research school was dedicated to the founder of the Argentinian research group in representation theory, M.I. Platzeck
Member of
Image bit depth
0
LC call number
QA169
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Assem, Ibrahim.
  • Trepode, Sonia.
  • SpringerLink
Series statement
CRM Short Courses,
http://library.link/vocab/subjectName
  • Mathematics
  • Categories (Mathematics)
  • Algebra, Homological
  • Commutative algebra
  • Commutative rings
  • Combinatorial analysis
  • Mathematics
  • Category Theory, Homological Algebra
  • Commutative Rings and Algebras
  • Combinatorics
Label
Homological Methods, Representation Theory, and Cluster Algebras, edited by Ibrahim Assem, Sonia Trepode, (electronic resource)
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
Introduction to the Representation Theory of Finite-Dimensional Algebras: The Functorial Approach (M. I. Platzeck) -- Auslander–Reiten Theory for Finite-Dimensional Algebras (P. Malicki).- Cluster Algebras From Surfaces (R. Schiffler) -- Cluster Characters (P.-G. Plamondon) -- A Course on Cluster Tilted Algebras (I. Assem) -- Brauer Graph Algebras (S. Schroll).
Dimensions
unknown
Extent
XI, 223 p. 41 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319745855
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-74585-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-74585-5
Label
Homological Methods, Representation Theory, and Cluster Algebras, edited by Ibrahim Assem, Sonia Trepode, (electronic resource)
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
Introduction to the Representation Theory of Finite-Dimensional Algebras: The Functorial Approach (M. I. Platzeck) -- Auslander–Reiten Theory for Finite-Dimensional Algebras (P. Malicki).- Cluster Algebras From Surfaces (R. Schiffler) -- Cluster Characters (P.-G. Plamondon) -- A Course on Cluster Tilted Algebras (I. Assem) -- Brauer Graph Algebras (S. Schroll).
Dimensions
unknown
Extent
XI, 223 p. 41 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319745855
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-74585-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-74585-5

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