We define a family of generalizations of SL_2 -tilings to higher dimensions called e-SL2 -tilings. We show that, in each dimension 3 or greater, e-SL_2 -tilings exist only for certain choices of e. In the case that they exist, we show that they are essentially unique and have a concrete description in terms of odd Fibonacci numbers.
SL2 -tilings do not exist in higher dimensions (mostly) / Demonet, Laurent; Plamondon, PIERRE-GUY; Rupel, Dylan; Stella, Salvatore; PAVEL TUMARKIN, And. - In: SÉMINAIRE LOTHARINGIEN DE COMBINATOIRE. - ISSN 1286-4889. - 76:(2018).
SL2 -tilings do not exist in higher dimensions (mostly)
LAURENT DEMONET;PIERRE-GUY PLAMONDON;SALVATORE STELLA;
2018
Abstract
We define a family of generalizations of SL_2 -tilings to higher dimensions called e-SL2 -tilings. We show that, in each dimension 3 or greater, e-SL_2 -tilings exist only for certain choices of e. In the case that they exist, we show that they are essentially unique and have a concrete description in terms of odd Fibonacci numbers.File allegati a questo prodotto
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