海森堡群的格表示
Lattice representations of Heisenberg groups
摘要：
本文证明了Heisenberg群$H_{\mathbb R}^{(g,h)}$的格表示与格$L$和次数为$h$的正定对称半积分矩阵M的关系是酉等价于$H_{\mathbb R}^{(g,h)}$的Schroedinger表示的$(det 2M)^g$副本的直和.
英文摘要：
In this article, we prove that a lattice representation of the Heisenberg group $H_{\mathbb R}^{(g,h)}$ associated to a lattice $L$ and a positive definite symmetric half-integral matrix M of degree $h$ is unitarily equivalent to the direct sum of $(det 2M)^g$ copies of the Schroedinger representation of $H_{\mathbb R}^{(g,h)}$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
