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Title: SL_2-Tilings Do Not Exist in Higher Dimensions (mostly)
Authors: Demonet, L
Plamondon, P-G
Rupel, D
Stella, S
Tumarkin, P
First Published: 2018
Publisher: The Séminaire Lotharingien de Combinatoire, Copyright Dominique Foata, Guoniu Han, Alain Sartout and Christian Krattenthaler
Citation: Séminaire Lotharingien de Combinatoire, 2018, 76, B76d.
Abstract: We 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.
ISSN: 1286-4889
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © The Author(s), 2018. Deposited with reference to the publisher’s open access archiving policy. (
Appears in Collections:Published Articles, Dept. of Mathematics

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