000 03007nam a22004935i 4500
001 978-3-540-69748-0
003 DE-He213
005 20190213151636.0
007 cr nn 008mamaa
008 121227s1998 gw | s |||| 0|eng d
020 _a9783540697480
_9978-3-540-69748-0
024 7 _a10.1007/BFb0096366
_2doi
050 4 _aQA174-183
072 7 _aPBG
_2bicssc
072 7 _aMAT002010
_2bisacsh
072 7 _aPBG
_2thema
082 0 4 _a512.2
_223
100 1 _aKönig, Steffen.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aDerived Equivalences for Group Rings
_h[electronic resource] /
_cby Steffen König, Alexander Zimmermann.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1998.
300 _aX, 246 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 ;
_v1685
505 0 _aBasic definitions and some examples -- Rickard's fundamental theorem -- Some modular and local representation theory -- Onesided tilting complexes for group rings -- Tilting with additional structure: twosided tilting complexes -- Historical remarks -- On the construction of triangle equivalences -- Triangulated categories in the modular representation theory of finite groups -- The derived category of blocks with cyclic defect groups -- On stable equivalences of Morita type.
520 _aA self-contained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broué's conjecture is discussed, giving a structural explanation for relations between the p-modular character table of a finite group and that of its "p-local structure". The book is addressed to researchers or graduate students and can serve as material for a seminar. It surveys the current state of the field, and it also provides a "user's guide" to derived equivalences and tilting complexes. Results and proofs are presented in the generality needed for group theoretic applications.
650 0 _aGroup theory.
650 0 _aK-theory.
650 1 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
650 2 4 _aK-Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M11086
700 1 _aZimmermann, Alexander.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662193112
776 0 8 _iPrinted edition:
_z9783540643111
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1685
856 4 0 _uhttps://doi.org/10.1007/BFb0096366
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11382
_d11382