The Resource Representation Theory : A Homological Algebra Point of View, by Alexander Zimmermann, (electronic resource)

Representation Theory : A Homological Algebra Point of View, by Alexander Zimmermann, (electronic resource)

Label
Representation Theory : A Homological Algebra Point of View
Title
Representation Theory
Title remainder
A Homological Algebra Point of View
Statement of responsibility
by Alexander Zimmermann
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
Introducing the representation theory of groups and finite dimensional algebras, this book first studies basic non-commutative ring theory, covering the necessary background of elementary homological algebra and representations of groups to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. Whenever possible the statements are presented in a general setting for more general algebras, such as symmetric finite dimensional algebras over a field. Then, abelian and derived categories are introduced in detail and are used to explain stable module categories, as well as derived categories and their main invariants and links between them. Group theoretical applications of these theories are given – such as the structure of blocks of cyclic defect groups – whenever appropriate. Overall, many methods from the representation theory of algebras are introduced. Representation Theory assumes only the most basic knowledge of linear algebra, groups, rings and fields, and guides the reader in the use of categorical equivalences in the representation theory of groups and algebras. As the book is based on lectures, it will be accessible to any graduate student in algebra and can be used for self-study as well as for classroom use
Member of
http://library.link/vocab/creatorName
Zimmermann, Alexander
Image bit depth
0
LC call number
QA150-272
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Algebra and Applications,
Series volume
19
http://library.link/vocab/subjectName
  • Mathematics
  • Algebra
  • Group theory
  • Mathematics
  • Algebra
  • Associative Rings and Algebras
  • Category Theory, Homological Algebra
  • Group Theory and Generalizations
Label
Representation Theory : A Homological Algebra Point of View, by 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
Rings, Algebras and Modules -- Modular Representations of Finite Groups -- Abelian and Triangulated Categories -- Morita theory -- Stable Module Categories -- Derived Equivalences
Dimensions
unknown
Extent
XX, 707 p. 59 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319079684
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-07968-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-07968-4
Label
Representation Theory : A Homological Algebra Point of View, by 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
Rings, Algebras and Modules -- Modular Representations of Finite Groups -- Abelian and Triangulated Categories -- Morita theory -- Stable Module Categories -- Derived Equivalences
Dimensions
unknown
Extent
XX, 707 p. 59 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319079684
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-07968-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-07968-4

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