论文标题
光谱分析和表示] {频谱分析在降低的正常点附近
Spectral analysis and representations]{Spectral analysis near regular point of reducibility and representations of Coxeter groups
论文作者
论文摘要
对于平方矩阵的元组$ a_1，...，a_n $，确定性超出表面的定义为\ begin {eqnarray*}＆σ（a_1，...，...，a_n）= \\＆\ big \ big \ \ \ big \ \ {[x_1：x_1：\ cdots：\ cd cd：x_n] det（x_1a_1 +\ cdots +x_na_n）= 0 \ big \}。 \ end {eqnarray*}在本文中，我们在确定性超出表面的常规点附近开发了局部光谱分析。我们证明了Coxeter组表示的刚性类型定理
For a tuple of square matrices $A_1,...,A_n$ the determinantal hypersurface is defined as \begin{eqnarray*} &σ(A_1,...,A_n)= \\ &\Big\{[x_1:\cdots :x_n]\in \C{\mathbb P}^{n-1}: det(x_1A_1+\cdots +x_nA_n)=0\Big \}. \end{eqnarray*} In this paper we develop a local spectral analysis near a regular point of reducibility of a determinantal hypersurface. We prove a rigidity type theorem for representations of Coxeter groups as an application
