SL_2-Tilings Do Not Exist in Higher Dimensions (mostly)
journal contribution
posted on 2019-05-20, 14:16 authored by L Demonet, P-G Plamondon, D Rupel, S Stella, P TumarkinWe define a family of generalizations of SL2-tilings to higher dimensions called
epsilon-SL2-tilings. We show that, in each dimension 3 or greater, epsilon-SL2-tilings exist only for
certain choices of epsilon. In the case that they exist, we show that they are essentially unique
and have a concrete description in terms of odd Fibonacci numbers.
Funding
The first author was partially supported by JSPS Grant-in-Aid for Young Scientist (B) 26800008. The second author was partially supported by the French ANR grant SC3A (ANR-15-CE40-0004-01)
History
Citation
Séminaire Lotharingien de Combinatoire, 2018, 76, B76d.Author affiliation
/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of MathematicsVersion
- AM (Accepted Manuscript)
Published in
Séminaire Lotharingien de CombinatoirePublisher
The Séminaire Lotharingien de Combinatoire, Copyright Dominique Foata, Guoniu Han, Alain Sartout and Christian Krattenthalerissn
1286-4889Acceptance date
2017-03-31Copyright date
2018Available date
2019-05-20Publisher version
https://www.mat.univie.ac.at/~slc/wpapers/s76stella.htmlLanguage
enAdministrator link
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