论文标题
$ i \ mathfrak {u} _n $的意外循环对称性
An Unexpected Cyclic Symmetry of $I\mathfrak{u}_n$
论文作者
论文摘要
我们发现并讨论了一个意外的(对我们的)订单$ n $周期性的自动形态群体,lie代数$ i \ mathfrak {u} _n:= \ m athfrak {u} _n \ ltimes \ ltimes \ mathfrak \ mathfrak {u} $ n \ times n $矩阵。我们的结果还扩展到$ gl_ {n+}^ε$,$ gl_n $的``求解近似值''。
We find and discuss an unexpected (to us) order $n$ cyclic group of automorphisms of the Lie algebra $I\mathfrak{u}_n := \mathfrak{u}_n\ltimes\mathfrak{u}_n^\ast$, where $\mathfrak{u}_n$ is the Lie algebra of upper triangular $n\times n$ matrices. Our results also extend to $gl_{n+}^ε$, a ``solvable approximation'' of $gl_n$, as defined within.