LEADER 03007nam 22006615 450 001 9910146292603321 005 20250801064923.0 010 $a3-540-69596-6 024 7 $a10.1007/BFb0095821 035 $a(CKB)1000000000437342 035 $a(SSID)ssj0000323638 035 $a(PQKBManifestationID)12091409 035 $a(PQKBTitleCode)TC0000323638 035 $a(PQKBWorkID)10300100 035 $a(PQKB)11251669 035 $a(DE-He213)978-3-540-69596-7 035 $a(MiAaPQ)EBC5610930 035 $a(Au-PeEL)EBL5610930 035 $a(OCoLC)1078997172 035 $a(MiAaPQ)EBC6842055 035 $a(Au-PeEL)EBL6842055 035 $a(OCoLC)1159612263 035 $a(PPN)155184555 035 $a(EXLCZ)991000000000437342 100 $a20121227d1997 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aGreen Functors and G-sets /$fby serge Bouc 205 $a1st ed. 1997. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1997. 215 $a1 online resource (VII, 342 p.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1671 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-63550-5 320 $aIncludes bibliographical references and index. 327 $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. 330 $aThis book provides a definition of Green functors for a finite group G, and of modules over it, in terms of the category of finite G-sets. Some classical constructions, such as the associated categroy or algebra, have a natural interpretation in that framework. Many notions of ring theory can be extended to Green functors (opposite Green functor, bimodules, Morita theory, simple modules, centres,...). There are moreover connections between Green functors for different groups, given by functors associated to bisets. Intended for researchers and students in representation theory of finite groups it requires only basic algebra and category theory, though knowledge of the classical examples of Mackey functors is probably preferable. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v1671 606 $aK-theory 606 $aGroup theory 606 $aK-Theory 606 $aGroup Theory and Generalizations 615 0$aK-theory. 615 0$aGroup theory. 615 14$aK-Theory. 615 24$aGroup Theory and Generalizations. 676 $a512.55 700 $aBouc$b Serge$f1955-$061645 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146292603321 996 $aGreen functors and G-sets$978122 997 $aUNINA