Symmetries of a two-dimensional continued fraction
Symmetries of a two-dimensional continued fraction
Abstract We describe the symmetry group of a multidimensional continued fraction. As a multidimensional generalization of continued fractions we consider Klein polyhedra. We distinguish two types of symmetries: Dirichlet symmetries, which correspond to the multiplication by units of the respective extension of <?CDATA $\mathbb{Q}$?> , and so-called palindromic symmetries. The …