I. A. Tlyustangelov, “Proper symmetries of 3-dimensional continued fractions”, Dokl. RAN. Math. Inf. Proc. Upr., 2022, Volume 506,Pages <nobr>73

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MATHEMATICS

Proper symmetries of 3-dimensional continued fractions

I. A. Tlyustangelov^ab

^a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Moscow Center for Fundamental and Applied Mathematics

Abstract: In this work we prove a criterion for an algebraic continued fraction to have a proper palindromic symmetry in dimension 4. As a multidimensional generalization of continued fractions, we consider Klein polyhedra.

Keywords: Klein polyhedra, algebraic lattices.

UDC: 511.48

Presented: A. L. Semenov
Received: 31.05.2022
Revised: 19.07.2022
Accepted: 21.07.2022

DOI: 10.31857/S2686954322050174