K-invariant Hilbert Modules and Singular Vector Bundles on Bounded Symmetric Domains
Functional Analysis
2022-04-27 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2204.12444,
title = {K-invariant Hilbert Modules and Singular Vector Bundles on Bounded Symmetric Domains},
author = {Harald Upmeier},
journal= {arXiv preprint arXiv:2204.12444},
year = {2022}
}
Comments
31 pages