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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)
Resource Information
The item Homological Methods, Representation Theory, and Cluster Algebras, edited by Ibrahim Assem, Sonia Trepode, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Homological Methods, Representation Theory, and Cluster Algebras, edited by Ibrahim Assem, Sonia Trepode, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This text presents six minicourses, all devoted to interactions between representation theory of algebras, homological algebra, and the new everexpanding 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 finitedimensional 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 minicourses 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
 Language
 eng
 Extent
 XI, 223 p. 41 illus.
 Contents

 Introduction to the Representation Theory of FiniteDimensional Algebras: The Functorial Approach (M. I. Platzeck)
 Auslander–Reiten Theory for FiniteDimensional 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).
 Isbn
 9783319745855
 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
 Subject

 Algebra, Homological
 Commutative algebra
 Combinatorial analysis
 Commutative Rings and Algebras
 Electronic resources
 Algebra, Homological
 Category Theory, Homological Algebra
 Mathematics
 Commutative algebra
 Combinatorial analysis
 Categories (Mathematics)
 Mathematics
 Commutative rings
 Combinatorics
 Commutative rings
 Categories (Mathematics)
 Language
 eng
 Summary
 This text presents six minicourses, all devoted to interactions between representation theory of algebras, homological algebra, and the new everexpanding 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 finitedimensional 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 minicourses 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
 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)
 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 FiniteDimensional Algebras: The Functorial Approach (M. I. Platzeck)  Auslander–Reiten Theory for FiniteDimensional 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
 10.1007/9783319745855
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319745855
 Label
 Homological Methods, Representation Theory, and Cluster Algebras, edited by Ibrahim Assem, Sonia Trepode, (electronic resource)
 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 FiniteDimensional Algebras: The Functorial Approach (M. I. Platzeck)  Auslander–Reiten Theory for FiniteDimensional 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
 10.1007/9783319745855
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319745855
Subject
 Algebra, Homological
 Algebra, Homological
 Categories (Mathematics)
 Categories (Mathematics)
 Category Theory, Homological Algebra
 Combinatorial analysis
 Combinatorial analysis
 Combinatorics
 Commutative Rings and Algebras
 Commutative algebra
 Commutative algebra
 Commutative rings
 Commutative rings
 Electronic resources
 Mathematics
 Mathematics
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