论文标题
无限维仿射组的表示
Representations of the Infinite-Dimensional Affine Group
论文作者
论文摘要
我们引入了一个无限的仿射组，并构建其不可还原的统一表示。我们的方法遵循Vershik，Gelfand和Graev用于差异组的一种方法，但是由于该组不对相位空间作用的事实进行了必要的修改。但是，可以定义其对某些类别功能的动作。
We introduce an infinite-dimensional affine group and construct its irreducible unitary representation. Our approach follows the one used by Vershik, Gelfand and Graev for the diffeomorphism group, but with modifications made necessary by the fact that the group does not act on the phase space. However it is possible to define its action on some classes of functions.
