{"product_id":"9783540643111","title":"Derived Equivalences for Group Rings (Lecture Notes in Mathematics)","description":"\u003cp\u003eA 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. Basic 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.\u003c\/p\u003e","brand":"Springer Verlag","offers":[{"title":"Default Title","offer_id":45485162070095,"sku":"00000_00000_00000_00000","price":1925.0,"currency_code":"TWD","in_stock":true}],"url":"https:\/\/kinokuniya.com.tw\/en\/products\/9783540643111","provider":"Books Kinokuniya Taiwan","version":"1.0","type":"link"}