Derived equivalences for group rings / Steffen König, Alexander Zimmermann ; with contributions by Bernhard Keller, Markus Linckelmann, Jeremy Rickard... [et al.]

Auteur principal : König, Steffen, 1961-, AuteurCo-auteur : Zimmermann, Alexander, 1964-, AuteurAuteur secondaire : Linckelmann, Markus, Collaborateur • Rickard, Jeremy, Collaborateur • Keller, Bernhard, 1964-, CollaborateurType de document : MonographieCollection : Lecture notes in mathematics, 1685Langue : anglais.Pays: Allemagne.Éditeur : Berlin, Heidelberg : Springer, cop. 1998Description : 1 vol. (X-246 p.) : ill. ; 24 cmISBN: 3540643117.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 233-243. Index.Sujet MSC : 16-02, Research exposition (monographs, survey articles) pertaining to associative rings and algebras
16D90, Modules, bimodules and ideals in associative algebras, Module categories in associative algebras; module theory in a category-theoretic context; Morita equivalence and duality
16G30, Representation theory of associative rings and algebras, Representations of orders, lattices, algebras over commutative rings
18-02, Research exposition (monographs, survey articles) pertaining to category theory
20-02, Research exposition (monographs, survey articles) pertaining to group theory
16E20, Homological methods in associative algebras, Grothendieck groups, K-theory, etc.En-ligne : sur Springer Link
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Monographie Monographie CMI
Salle 1 		16 KON (Browse shelf(Opens below)) Available 08250-01

Bibliogr. p. 233-243. Index

A 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. (Source : Springer)

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