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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.26626 |
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| _version_ | 1866908917135572992 |
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| author | Jones, Adam Woods, William |
| author_facet | Jones, Adam Woods, William |
| contents | Let G be a nilpotent p-valuable (compact p-adic Lie) group. There is an ongoing investigation into the prime ideals of its completed group algebra (Iwasawa algebra), and there remains an open conjecture that they can all be proved to have a canonical standard form. We very this conjecture for several new classes of nilpotent groups, including those corresponding to the positive subalgebra of almost all classical and exceptional types, curiously excluding those of type C. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26626 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | New directions in the study of prime ideals in rational, nilpotent Iwasawa algebras Jones, Adam Woods, William Representation Theory Group Theory Rings and Algebras 22E35, 22E27, 20C07, 16W70, 16W80, 17B22 Let G be a nilpotent p-valuable (compact p-adic Lie) group. There is an ongoing investigation into the prime ideals of its completed group algebra (Iwasawa algebra), and there remains an open conjecture that they can all be proved to have a canonical standard form. We very this conjecture for several new classes of nilpotent groups, including those corresponding to the positive subalgebra of almost all classical and exceptional types, curiously excluding those of type C. |
| title | New directions in the study of prime ideals in rational, nilpotent Iwasawa algebras |
| topic | Representation Theory Group Theory Rings and Algebras 22E35, 22E27, 20C07, 16W70, 16W80, 17B22 |
| url | https://arxiv.org/abs/2603.26626 |