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Cubist algebras

Abstract:

We construct algebras from rhombohedral tilings of Euclidean space obtained as projections of certain cubical complexes. We show that these ‘Cubist algebras’ satisfy strong homological properties, such as Koszulity and quasi-heredity, reflecting the combinatorics of the tilings. We construct derived equivalences between Cubist algebras associated to local mutations in tilings. We recover as a special case the Rhombal algebras of Michael Peach and make a precise connection to weight 2 blocks...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.aim.2007.06.017

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Advances in Mathematics Publisher's website
Publication date:
2007-11-26
DOI:
EISSN:
1090-2082
ISSN:
0001-8708
Source identifiers:
18244
Keywords:
Subjects:
UUID:
uuid:5f257838-27c5-4bd5-bb83-296a792210ca
Local pid:
pubs:18244
Deposit date:
2012-12-19

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