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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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Hecke ,,-interior algebras and noninjective induction,hat it includes remarks on Higman envelopes which were not needed there. Let . and . be finite groups, .. a subgroup of . × . and .. a ..-interior algebra; ., we call the .-interior algebra.. associated with ., .. and ..; for a suitable choice of .. and .., this .-interior algebra extends to the . b
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Brauer sections in basic Hecke ,,-interior algebras,lary 14.21 and 15.7.1). In this section we analyze a particular kind of local tracing triples on ., .. and .’ (cf. 16.4) which occurs without exception in the Hecke .-interior algebras associated with the basic Rickard equivalences between blocks introduced in Section 19 below. Precisely, we say tha
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Rickard equivalences between Brauer blocks,, . and .’ blocks of . and .’ respectively, and .. an indecomposable .(. × .’)-module which has projective restrictions to .(. × 1) and to .(1 × .’), and is associated with . ⊗ (.’)° (recall that (.’)° is the image of .’ by the antipodal isomorphism .’ ≅ (.’)°). Respectively denote by Mod. and Mod.
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978-3-0348-9732-7Springer Basel AG 1999
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On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks978-3-0348-8693-2Series ISSN 0743-1643 Series E-ISSN 2296-505X
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Progress in Mathematicshttp://image.papertrans.cn/o/image/701181.jpg
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https://doi.org/10.1007/978-3-0348-8693-2Equivalence; Finite; Group theory; Gruppentheorie; Invariant; algebra; classification; group; set
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