论文标题
组的字符$ \ mathrm {el} _d（r）$ for Monsutative Noetherian ring $ r $
Characters of the group $\mathrm{EL}_d (R)$ for a commutative Noetherian ring $R$
论文作者
论文摘要
让$ r $成为带有单位的诺瑟戒指。我们对组$ \ mathrm {el} _d（r）$的字符进行了分类，规定$ d $大于环$ r $的稳定范围。因此，从有限的维表示，$ \ mathrm {el} _d（r）$的每个字符都是从有限的尺寸表示中诱导的。为了我们的主要结果，我们将$ \ mathrm {el} _d（r）$分类 - $ r^d $的Pontryagin Dual Group上的不变概率度量。
Let $R$ be a commutative Noetherian ring with unit. We classify the characters of the group $\mathrm{EL}_d (R)$ provided that $d$ is greater than the stable range of the ring $R$. It follows that every character of $\mathrm{EL}_d (R)$ is induced from a finite dimensional representation. Towards our main result we classify $\mathrm{EL}_d (R)$-invariant probability measures on the Pontryagin dual group of $R^d$.
