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SL(2)-tilings do not exist in higher dimensions (mostly).

Demonet, L. and Plamondon, P.-G. and Rupel, D. and Stella, S. and Tumarkin, P. (2017) 'SL(2)-tilings do not exist in higher dimensions (mostly).', Séminaire Lotharingien de Combinatoire. .

Abstract

We define a family of generalizations of SL2-tilings to higher dimensions called ϵ-SL2-tilings. We show that, in each dimension 3 or greater, ϵ-SL2-tilings exist only for certain choices of ϵ. In the case that they exist, we show that they are essentially unique and have a concrete description in terms of odd Fibonacci numbers.

Item Type:Article
Full text:Publisher-imposed embargo
(AM) Accepted Manuscript
First Live Deposit - 05 April 2017
File format - PDF
(117Kb)
Status:Peer-reviewed
Publisher Web site:http://www.emis.de/journals/SLC/index.html
Record Created:05 Apr 2017 15:28
Last Modified:06 Apr 2017 16:39

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