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arxiv: 0711.0793 · v1 · submitted 2007-11-06 · 🧮 math.AG · math.RT

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On Moduli Spaces for Abelian Categories

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classification 🧮 math.AG math.RT
keywords abeliancategoriesmodulialgebraicappliedcategorycertainconcept
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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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