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Chebyshevskii Sbornik, 2023, Volume 24, Issue 1, Pages 139–181
DOI: https://doi.org/10.22405/2226-8383-2023-24-1-139-181 (Mi cheb1288) 		 
On symmetries of 3-dimensional algebraic continued fractions

I. A. Tlyustangelovab

a Lomonosov Moscow State University (Moscow)
b Moscow Center of Fundamental and Applied Mathematics (Moscow)
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DOI: https://doi.org/10.22405/2226-8383-2023-24-1-139-181
Abstract: In this paper we prove in detail a criterion for an algebraic continued fraction to have a proper palindromic symmetry in dimension 4. We also present a new proof of the criterion for an algebraic continued fraction to have a proper cyclic palindromic symmetry in dimension 4. As a multidimensional generalization of continued fractions, we consider Klein polyhedra.
Keywords: Klein polyhedra, algebraic lattices.
Funding agency Grant number
Russian Science Foundation 22-21-00079
Received: 14.09.2022
Accepted: 24.04.2023
Document Type: Article
UDC: 511.48
Language: Russian
Citation: I. A. Tlyustangelov, “On symmetries of 3-dimensional algebraic continued fractions”, Chebyshevskii Sb., 24:1 (2023), 139–181
Citation in format AMSBIB
\Bibitem{Tly23}
\by I.~A.~Tlyustangelov
\paper On symmetries of 3-dimensional algebraic continued fractions
\jour Chebyshevskii Sb.
\yr 2023
\vol 24
\issue 1
\pages 139--181
\mathnet{http://mi.mathnet.ru/cheb1288}
\crossref{https://doi.org/10.22405/2226-8383-2023-24-1-139-181}
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