A+ CATEGORY SCIENTIFIC UNIT

Subcategories of the derived category and cotilting complexes

Volume 88 / 2001

Aslak Bakke Buan Colloquium Mathematicum 88 (2001), 1-11 MSC: 16E05, 16D90, 16G30. DOI: 10.4064/cm88-1-1

Abstract

We show that there is a one-to-one correspondence between basic cotilting complexes and certain contravariantly finite subcategories of the bounded derived category of an artin algebra. This is a triangulated version of a result by Auslander and Reiten. We use this to find an existence criterion for complements to exceptional complexes.

Authors

  • Aslak Bakke BuanInstitutt for matematiske fag
    Norges teknisk-naturvitenskapelige universitet
    N-7491 Trondheim,
    Norway
    e-mail

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