Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.20246 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929561356206080 |
|---|---|
| author | Mann, Stephen |
| author_facet | Mann, Stephen |
| contents | We prove that infinite-dimensional highest-weight modules are faithful for Iwasawa algebras corresponding to a simple Lie algebra of type D. We use this to prove that all non-zero two-sided ideals of the Iwasawa algebra have finite codimension in this case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20246 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Faithfulness of highest-weight modules for Iwasawa algebras in type D Mann, Stephen Representation Theory Rings and Algebras We prove that infinite-dimensional highest-weight modules are faithful for Iwasawa algebras corresponding to a simple Lie algebra of type D. We use this to prove that all non-zero two-sided ideals of the Iwasawa algebra have finite codimension in this case. |
| title | Faithfulness of highest-weight modules for Iwasawa algebras in type D |
| topic | Representation Theory Rings and Algebras |
| url | https://arxiv.org/abs/2410.20246 |