Verma modules for Iwasawa algebras are faithful
We establish the faithfulness of Verma modules for rational Iwasawa algebras of split semisimple compact $L$-analytic groups. We also prove the algebraic independence of Arens-Michael envelopes over Iwasawa algebras and compute the centre of affinoid enveloping algebras of semisimple $p$-adic Lie al...
| Egile Nagusiak: | , |
|---|---|
| Formatua: | Journal article |
| Argitaratua: |
Münster Journal of Mathematics
2014
|
| _version_ | 1826287360443154432 |
|---|---|
| author | Ardakov, K Wadsley, S |
| author_facet | Ardakov, K Wadsley, S |
| author_sort | Ardakov, K |
| collection | OXFORD |
| description | We establish the faithfulness of Verma modules for rational Iwasawa algebras of split semisimple compact $L$-analytic groups. We also prove the algebraic independence of Arens-Michael envelopes over Iwasawa algebras and compute the centre of affinoid enveloping algebras of semisimple $p$-adic Lie algebras. |
| first_indexed | 2024-03-07T01:57:30Z |
| format | Journal article |
| id | oxford-uuid:9c37f6af-a9b8-4c9b-bbeb-04f0ee73ea25 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:57:30Z |
| publishDate | 2014 |
| publisher | Münster Journal of Mathematics |
| record_format | dspace |
| spelling | oxford-uuid:9c37f6af-a9b8-4c9b-bbeb-04f0ee73ea252022-03-27T00:34:28ZVerma modules for Iwasawa algebras are faithfulJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9c37f6af-a9b8-4c9b-bbeb-04f0ee73ea25Symplectic Elements at OxfordMünster Journal of Mathematics2014Ardakov, KWadsley, SWe establish the faithfulness of Verma modules for rational Iwasawa algebras of split semisimple compact $L$-analytic groups. We also prove the algebraic independence of Arens-Michael envelopes over Iwasawa algebras and compute the centre of affinoid enveloping algebras of semisimple $p$-adic Lie algebras. |
| spellingShingle | Ardakov, K Wadsley, S Verma modules for Iwasawa algebras are faithful |
| title | Verma modules for Iwasawa algebras are faithful |
| title_full | Verma modules for Iwasawa algebras are faithful |
| title_fullStr | Verma modules for Iwasawa algebras are faithful |
| title_full_unstemmed | Verma modules for Iwasawa algebras are faithful |
| title_short | Verma modules for Iwasawa algebras are faithful |
| title_sort | verma modules for iwasawa algebras are faithful |
| work_keys_str_mv | AT ardakovk vermamodulesforiwasawaalgebrasarefaithful AT wadsleys vermamodulesforiwasawaalgebrasarefaithful |