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Rhombus filtrations and Rauzy algebras

Abstract:

Peach introduced rhombal algebras associated to quivers given by tilings of the plane by rhombi. We develop general techniques to analyze rhombal algebras, including a filtration by what we call rhombus modules. We introduce a way to relate the infinite-dimensional rhombal algebra corresponding to a complete tiling of the plane to finite-dimensional algebras corresponding to finite portions of the tiling. Throughout, we apply our general techniques to the special case of the Rauzy tiling, ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.bulsci.2008.08.006

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Elsevier
Journal:
BULLETIN DES SCIENCES MATHEMATIQUES More from this journal
Volume:
133
Issue:
1
Pages:
56-81
Publication date:
2009-01-01
DOI:
ISSN:
0007-4497
Keywords:
Subjects:
UUID:
uuid:1de4db01-88e8-4d0e-8c0a-6cce21846550
Local pid:
pubs:19633
Source identifiers:
19633
Deposit date:
2012-12-19

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