Hilbert measures on orbit spaces of coregular $\operatorname{O}_m$-modules
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917960603402240 |
|---|---|
| author | Herbig, Hans-Christian Seaton, Christopher W. Whitesell, Lillian |
| author_facet | Herbig, Hans-Christian Seaton, Christopher W. Whitesell, Lillian |
| contents | We construct canonical measures, referred to as Hilbert measures, on orbit spaces of classical coregular representations of the orthogonal groups $\operatorname{O}_m$. We observe that the measures have singularities along non-principal strata of the orbit space if and only if the number of copies of the defining representation of $\operatorname{O}_m$ is equal to $m$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_13063 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hilbert measures on orbit spaces of coregular $\operatorname{O}_m$-modules Herbig, Hans-Christian Seaton, Christopher W. Whitesell, Lillian Representation Theory Differential Geometry primary 57S15, secondary 14L30, 28A99 We construct canonical measures, referred to as Hilbert measures, on orbit spaces of classical coregular representations of the orthogonal groups $\operatorname{O}_m$. We observe that the measures have singularities along non-principal strata of the orbit space if and only if the number of copies of the defining representation of $\operatorname{O}_m$ is equal to $m$. |
| title | Hilbert measures on orbit spaces of coregular $\operatorname{O}_m$-modules |
| topic | Representation Theory Differential Geometry primary 57S15, secondary 14L30, 28A99 |
| url | https://arxiv.org/abs/2411.13063 |