On Moduli Spaces for Abelian Categories

Author: Futorny Vyacheslav  

Publisher: Taylor & Francis Ltd

ISSN: 0092-7872

Source: Communications in Algebra, Vol.36, Iss.6, 2008-06, pp. : 2171-2185

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Abstract

We show that if A is an abelian category satisfying certain mild conditions, then one can introduce the concept of a moduli space of (semi)stable objects which has the structure of a projective algebraic variety. This idea is applied to several important abelian categories in representation theory, like highest weight categories.