Chuang, J. & Turner, W. (2008). Cubist algebras. Advances in Mathematics, 217(4),
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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 of symmetric groups.
|Uncontrolled Keywords:||0101 Pure Mathematics|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||School of Engineering & Mathematical Sciences > Department of Mathematical Science|
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Cubist algebras. (deposited 13 Sep 2011 13:14)
- Cubist algebras. (deposited 03 Jun 2015 15:12) [Currently Displayed]
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