On Moduli Spaces for Abelian Categories

Mathematics – Algebraic Geometry

Scientific paper

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To appear in Communications in Algebra, 18 pages

Scientific paper

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.

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