On symmetries of 3-dimensional algebraic continued fractions
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.
About the Author
Ibragim Aslanovich Tlyustangelov
Lomonosov Moscow State University;
Moscow Center of Fundamental and Applied Mathematics
Russian Federation
Russian Federation
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Review
For citations:
Tlyustangelov I.A. On symmetries of 3-dimensional algebraic continued fractions. Chebyshevskii Sbornik. 2023;24(1):139-181. (In Russ.) https://doi.org/10.22405/2226-8383-2023-24-1-139-181
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