000 | 03007nam a22004935i 4500 | ||
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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. |
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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 ; _v1685 |
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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 |