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The Resource Derived Equivalences for Group Rings, by Steffen König, Alexander Zimmermann, (electronic resource)
Derived Equivalences for Group Rings, by Steffen König, Alexander Zimmermann, (electronic resource)
Resource Information
The item Derived Equivalences for Group Rings, by Steffen König, Alexander Zimmermann, (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 Derived Equivalences for Group Rings, by Steffen König, Alexander Zimmermann, (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
 A selfcontained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broué's conjecture is discussed, giving a structural explanation for relations between the pmodular character table of a finite group and that of its "plocal structure". The book is addressed to researchers or graduate students and can serve as material for a seminar. It surveys the current state of the field, and it also provides a "user's guide" to derived equivalences and tilting complexes. Results and proofs are presented in the generality needed for group theoretic applications
 Language
 eng
 Extent
 X, 246 p.
 Contents

 Basic definitions and some examples
 Rickard's fundamental theorem
 Some modular and local representation theory
 Onesided tilting complexes for group rings
 Tilting with additional structure: twosided tilting complexes
 Historical remarks
 On the construction of triangle equivalences
 Triangulated categories in the modular representation theory of finite groups
 The derived category of blocks with cyclic defect groups
 On stable equivalences of Morita type
 Isbn
 9783540697480
 Label
 Derived Equivalences for Group Rings
 Title
 Derived Equivalences for Group Rings
 Statement of responsibility
 by Steffen König, Alexander Zimmermann
 Language
 eng
 Summary
 A selfcontained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broué's conjecture is discussed, giving a structural explanation for relations between the pmodular character table of a finite group and that of its "plocal structure". The book is addressed to researchers or graduate students and can serve as material for a seminar. It surveys the current state of the field, and it also provides a "user's guide" to derived equivalences and tilting complexes. Results and proofs are presented in the generality needed for group theoretic applications
 http://library.link/vocab/creatorName
 König, Steffen
 Image bit depth
 0
 LC call number
 QA174183
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Zimmermann, Alexander.
 SpringerLink
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 1685
 http://library.link/vocab/subjectName

 Mathematics
 Group theory
 Ktheory
 Mathematics
 Group Theory and Generalizations
 KTheory
 Label
 Derived Equivalences for Group Rings, by Steffen König, Alexander Zimmermann, (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
 Basic definitions and some examples  Rickard's fundamental theorem  Some modular and local representation theory  Onesided tilting complexes for group rings  Tilting with additional structure: twosided tilting complexes  Historical remarks  On the construction of triangle equivalences  Triangulated categories in the modular representation theory of finite groups  The derived category of blocks with cyclic defect groups  On stable equivalences of Morita type
 Dimensions
 unknown
 Extent
 X, 246 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783540697480
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/BFb0096366
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783540697480
 Label
 Derived Equivalences for Group Rings, by Steffen König, Alexander Zimmermann, (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
 Basic definitions and some examples  Rickard's fundamental theorem  Some modular and local representation theory  Onesided tilting complexes for group rings  Tilting with additional structure: twosided tilting complexes  Historical remarks  On the construction of triangle equivalences  Triangulated categories in the modular representation theory of finite groups  The derived category of blocks with cyclic defect groups  On stable equivalences of Morita type
 Dimensions
 unknown
 Extent
 X, 246 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783540697480
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/BFb0096366
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783540697480
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