Journal article icon

Journal article

Automorphismes, graduations et catégories triangulées

Abstract:

We give a moduli interpretation of the outer automorphism group Out of a finite-dimensional algebra similar to that of the Picard group of a scheme. We deduce that the connected component of Out is invariant under derived and stable equivalences. This allows us to transfer gradings between algebras and gives rise to conjectural homological constructions of interesting gradings on blocks of finite groups with abelian defect. We give applications to the lifting of stable equivalences to derived...

Expand abstract

Actions


Access Document


Publisher copy:
10.1017/S1474748011000089

Authors


Journal:
Journal of the Institute of Mathematics of Jussieu
Volume:
10
Issue:
3
Pages:
713-751
Publication date:
2011-07-01
DOI:
EISSN:
1475-3030
ISSN:
1474-7480
Source identifiers:
166633
Language:
French
Keywords:
Pubs id:
pubs:166633
UUID:
uuid:6eb111ab-3f14-412d-ab0e-3333af8e99bb
Local pid:
pubs:166633
Deposit date:
2012-12-20

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP