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Configurations in abelian categories. II. Ringel-Hall algebras

Abstract:

This is the second in a series math.AG/0312190, math.AG/0410267, math.AG/0410268 on configurations in an abelian category A. Given a finite partially ordered set (I,<), an (I,<)-configuration (\sigma,\iota,\pi) is a finite collection of objects \sigma(J) and morphisms \iota(J,K) or \pi(J,K) : \sigma(J) --> \sigma(K) in A satisfying some axioms, where J,K are subsets of I. Configurations describe how an object X in A decomposes into subobjects. The first paper math.AG/0312190 defined...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1016/j.aim.2006.07.006

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Engineering and Physical Sciences Research Council More from this funder
Publisher:
Elsevier B.V. Publisher's website
Journal:
ADVANCES IN MATHEMATICS Journal website
Volume:
210
Issue:
2
Pages:
635-706
Publication date:
2005-03-02
DOI:
ISSN:
0001-8708
URN:
uuid:df5d7491-82d3-4ab0-81e2-467866b82602
Source identifiers:
19119
Local pid:
pubs:19119

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