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)

Label
Derived Equivalences for Group Rings
Title
Derived Equivalences for Group Rings
Statement of responsibility
by Steffen König, Alexander Zimmermann
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
A self-contained 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 p-modular character table of a finite group and that of its "p-local 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
Member of
http://library.link/vocab/creatorName
König, Steffen
Image bit depth
0
LC call number
QA174-183
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
  • K-theory
  • Mathematics
  • Group Theory and Generalizations
  • K-Theory
Label
Derived Equivalences for Group Rings, by Steffen König, Alexander Zimmermann, (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
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
(DE-He213)978-3-540-69748-0
Label
Derived Equivalences for Group Rings, by Steffen König, Alexander Zimmermann, (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
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
(DE-He213)978-3-540-69748-0

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