Titlebook: On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks; Lluís Puig Carreres Book 1999 Springer Basel AG 1999 Equi

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neutralize

ARCH

專橫

On the local structure of Hecke ,,-interior algebras,ing source algebra and multiplicity module (cf. 2.8 and 2.9), from analogous local invariants of ... This knowledge of the local structure of the Hecke .-interior algebra . will be enough to study Morita equivalences between blocks, and we postpone the systematic analysis of the local pointed groups

drusen

Morita stable equivalences between Brauer blocks,e (.’.’). ? .’ (.’). as . ’-interior algebras), which restricted to both . (. × 1) and O (1 x .’) is projective. Set . = . and .’ = .’.’,so that .. is also an . ?. (.’)°-module, and denote respectively by Mod. and Mod. the categories of .-free .- and .’-modules; it is clear that .. determines a func

Dictation

Basic Morita stable equivalences between Brauer blocks,.; →.’; the surjective group homomorphisms determined by the projection maps on .’;. As we say in the introduction, in all the known situations where . has characteristic zero and .. defines a Morita stable equivalence between . and .’, it turns out that σ and σ’ are both bijective and that .. stabi

unstable-angina

The Morita stable equivalent class of a nilpotent block,aracteristic zero - to the question we raise in [21, 1.8], namely whether the existence of an .-algebra isomorphism between . and a full matrix algebra over . forces . to be .. Actually, once again we will discuss not only on Morita equivalences but on Morita . equivalences between blocks since it d

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–FER

,,-modules,1, here we are interested only on the differential .-graded .-modules which are finitely generated as .-modules (in short, . and it is now clear that they are just the .. In other words, an .-finite complexe of .-modules . is an .-finite .-module endowed with a unitary .-algebra homomorphism

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