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Tilting equivalences: from hereditary algebras to symmetric groups

Abstract:

We study Koszul duality for finite dimensional hereditary algebras, and various generalisations to trivial extension algebras, to Schur algebras, to doubles of Schur bialgebras, and to deformations of doubles of Schur bialgebras. We describe applications to the modular representation theory of symmetric groups.

Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1016/j.jalgebra.2008.02.015

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Institution:
University of Oxford
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute
Publisher:
Elsevier Inc. Publisher's website
Journal:
Journal of Algebra Journal website
Volume:
319
Issue:
10
Pages:
3975-4007
Publication date:
2008-05-05
DOI:
ISSN:
0021-8693
URN:
uuid:160efc15-6f1b-4b2e-a87c-b3d8262fc0e1
Local pid:
ora:8585

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