000 | 02788nam a22004815i 4500 | ||
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001 | 978-3-540-69596-7 | ||
003 | DE-He213 | ||
005 | 20190213151454.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1997 gw | s |||| 0|eng d | ||
020 |
_a9783540695967 _9978-3-540-69596-7 |
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024 | 7 |
_a10.1007/BFb0095821 _2doi |
|
050 | 4 | _aQA612.33 | |
072 | 7 |
_aPBPD _2bicssc |
|
072 | 7 |
_aMAT002010 _2bisacsh |
|
072 | 7 |
_aPBPD _2thema |
|
082 | 0 | 4 |
_a512.66 _223 |
100 | 1 |
_aBouc, Serge. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aGreen Functors and G-sets _h[electronic resource] / _cby Serge Bouc. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1997. |
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300 |
_aVII, 342 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1671 |
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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 | _aK-theory. | |
650 | 0 | _aGroup theory. | |
650 | 1 | 4 |
_aK-Theory. _0http://scigraph.springernature.com/things/product-market-codes/M11086 |
650 | 2 | 4 |
_aGroup Theory and Generalizations. _0http://scigraph.springernature.com/things/product-market-codes/M11078 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662201817 |
776 | 0 | 8 |
_iPrinted edition: _z9783540635505 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1671 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0095821 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10796 _d10796 |