000 02610nam a22004815i 4500
001 978-3-540-69596-7
003 DE-He213
005 20160624101833.0
007 cr nn 008mamaa
008 121227s1997 gw | s |||| 0|eng d
020 _a9783540695967
_9978-3-540-69596-7
024 7 _a10.1007/BFb0095821
_2doi
050 4 _aQA612.33
072 7 _aPBPD
_2bicssc
072 7 _aMAT002010
_2bisacsh
082 0 4 _a512.66
_223
100 1 _aBouc, Serge.
_eauthor.
245 1 0 _aGreen Functors and G-sets
_h[electronic resource] /
_cby Serge Bouc.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1997.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1997.
300 _aVII, 342 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1671
505 0 _aMackey 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.
520 _aThis book provides a definition of Green functors for a finite group G, and of modules over it, in terms of the category of finite G-sets. 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.
650 0 _aMathematics.
650 0 _aGroup theory.
650 0 _aK-theory.
650 1 4 _aMathematics.
650 2 4 _aK-Theory.
650 2 4 _aGroup Theory and Generalizations.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540635505
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1671
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0095821
942 _2EBK1813
_cEBK
999 _c31107
_d31107