Dimensions of triangulated categories via Koszul objects
- Bergh, Petter Andreas
- Iyengar, Srikanth B.
- Krause, Henning
- Oppermann, Steffen
Publication date
January 2010
DOI Publisher
Springer Science and Business Media LLCAbstract
Bergh PA, Iyengar SB, Krause H, Oppermann S. Dimensions of triangulated categories via Koszul objects. Mathematische Zeitschrift. 2010;265(4):849-864.Lower bounds for the dimension of a triangulated category are provided. These bounds are applied to stable derived categories of Artin algebras and of commutative complete intersection local rings. As a consequence, one obtains bounds for the representation dimensions of certain Artin algebras
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