论文标题
Kinvariant Hilbert模块和有限对称域上的单数矢量束
K-invariant Hilbert Modules and Singular Vector Bundles on Bounded Symmetric Domains
论文作者
论文摘要
我们表明，在等级r的有界对称域上，某些希尔伯特模块的“特征链”（定位捆绑包）是一个“奇异”矢量束（线性纤维化的复杂分析空间），将沿长度r+1的规范分层的均匀矢量捆分层分类。纤维是根据表示地层正常空间的表示理论实现的。
We show that the "eigenbundle" (localization bundle) of certain Hilbert modules over bounded symmetric domains of rank r is a "singular" vector bundle (linearly fibrered complex analytic space) which decomposes as a stratified sum of homogeneous vector bundles along a canonical stratification of length r+1. The fibres are realized in terms of representation theory on the normal space of the strata.
