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Grothendieck Groups and Tilting Objects by Reiten, I.; Bergh, M. Van den is a scholarly article available to read on EtoBox.

What is Grothendieck Groups and Tilting Objects about?

Let C be a connected noetherian hereditary abelian Ext-finite category with Serre functor over an algebraically closed field k, with finite dimensional homomorphism and extension spaces. Using the classification of such categories from math.RT/9911242, we prove that if C has some object of infinite length, then the Grothendieck group of C is finitely generated if and only if C has a tilting object.

Author

Reiten, I.; Bergh, M. Van den

Published

2000

Language

EN