论文标题
关于模棱两可函数的存在的评论
A remark on the existence of equivariant functions
论文作者
论文摘要
令$γ$为$ {\ rm sl} _2（\ mathbb {r}）$中的fuchsian组。在本说明中，我们讨论了二维表示$ρ$ $γ$的$ρ$ equivariant函数的存在。这一断言最初是由Saber和Sebbar在2020年陈述的，该说明通过证明对某些类别的Fuchsian群体（例如$ {\ rm sl} _2 _2 _2 _2 _2 _2（\ Mathbb {Z}）的主张，部分填补了他们的说法空白。
Let $Γ$ be a Fuchsian group in ${\rm SL}_2(\mathbb{R})$. In this note, we discuss the existence of $ρ$-equivariant functions for a two-dimensional representation $ρ$ of $Γ$. This assertion was first stated by Saber and Sebbar in 2020, and this note partially fills a gap of their statement by proving the assertion for a certain class of Fuchsian groups such as conjugates of subgroups of ${\rm SL}_2(\mathbb{Z})$.
