论文标题

关于三维代数持续分数的对称性

On symmetries of 3-dimensional algebraic continued fractions

论文作者

Tlyustangelov, Ibragim A.

论文摘要

在本文中,我们详细证明了一个代数的标准继续分数,使得尺寸为4 $的适当的回文对称性。我们还提供了一个新的代数标准的新证明,继续将分数的分数保留在尺寸$ 4 $的适当环状静脉体对称性。作为持续馏分的多维概括,我们认为klein polyhedra。

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.

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