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The Resource Green Functors and Gsets, by Serge Bouc, (electronic resource)
Green Functors and Gsets, by Serge Bouc, (electronic resource)
Resource Information
The item Green Functors and Gsets, by Serge Bouc, (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 Green Functors and Gsets, by Serge Bouc, (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 book provides a definition of Green functors for a finite group G, and of modules over it, in terms of the category of finite Gsets. Some classical constructions, such as the associated categroy or algebra, have a natural interpretation in that framework. Many notions of ring theory can be extended to Green functors (opposite Green functor, bimodules, Morita theory, simple modules, centres,...). There are moreover connections between Green functors for different groups, given by functors associated to bisets. Intended for researchers and students in representation theory of finite groups it requires only basic algebra and category theory, though knowledge of the classical examples of Mackey functors is probably preferable
 Language
 eng
 Extent
 VII, 342 p.
 Contents

 Mackey functors
 Green functors
 The category associated to a green functor
 The algebra associated to a green functor
 Morita equivalence and relative projectivity
 Construction of green functors
 A morita theory
 Composition
 Adjoint constructions
 Adjunction and green functors
 The simple modules
 Centres
 Isbn
 9783540695967
 Label
 Green Functors and Gsets
 Title
 Green Functors and Gsets
 Statement of responsibility
 by Serge Bouc
 Language
 eng
 Summary
 This book provides a definition of Green functors for a finite group G, and of modules over it, in terms of the category of finite Gsets. Some classical constructions, such as the associated categroy or algebra, have a natural interpretation in that framework. Many notions of ring theory can be extended to Green functors (opposite Green functor, bimodules, Morita theory, simple modules, centres,...). There are moreover connections between Green functors for different groups, given by functors associated to bisets. Intended for researchers and students in representation theory of finite groups it requires only basic algebra and category theory, though knowledge of the classical examples of Mackey functors is probably preferable
 http://library.link/vocab/creatorName
 Bouc, Serge
 Image bit depth
 0
 LC call number
 QA612.33
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 1671
 http://library.link/vocab/subjectName

 Mathematics
 Group theory
 Ktheory
 Mathematics
 KTheory
 Group Theory and Generalizations
 Label
 Green Functors and Gsets, by Serge Bouc, (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
 Mackey functors  Green functors  The category associated to a green functor  The algebra associated to a green functor  Morita equivalence and relative projectivity  Construction of green functors  A morita theory  Composition  Adjoint constructions  Adjunction and green functors  The simple modules  Centres
 Dimensions
 unknown
 Extent
 VII, 342 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783540695967
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/BFb0095821
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783540695967
 Label
 Green Functors and Gsets, by Serge Bouc, (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
 Mackey functors  Green functors  The category associated to a green functor  The algebra associated to a green functor  Morita equivalence and relative projectivity  Construction of green functors  A morita theory  Composition  Adjoint constructions  Adjunction and green functors  The simple modules  Centres
 Dimensions
 unknown
 Extent
 VII, 342 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783540695967
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/BFb0095821
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783540695967
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/GreenFunctorsandGsetsbySergeBouc/ygWv_NIUpbE/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/GreenFunctorsandGsetsbySergeBouc/ygWv_NIUpbE/">Green Functors and Gsets, by Serge Bouc, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>