The Topology of the Unitary Dual of Crystallography Groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908546128412672 |
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| author | Chan, Frankie Weld, Ellen |
| author_facet | Chan, Frankie Weld, Ellen |
| contents | We provide a procedure for generating the irreducible representations of crystallography groups in any dimension. We also furnish a strategy to investigate the topology of the unitary dual of a crystallography group using sequences of matrices. All irreducible representations (up to unitary equivalence) of the dimension 3 crystallography group 90 and some calculations involving sequences of these irreducible representations are included as a proof of concept of this procedure and strategy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00583 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Topology of the Unitary Dual of Crystallography Groups Chan, Frankie Weld, Ellen Functional Analysis Group Theory Representation Theory We provide a procedure for generating the irreducible representations of crystallography groups in any dimension. We also furnish a strategy to investigate the topology of the unitary dual of a crystallography group using sequences of matrices. All irreducible representations (up to unitary equivalence) of the dimension 3 crystallography group 90 and some calculations involving sequences of these irreducible representations are included as a proof of concept of this procedure and strategy. |
| title | The Topology of the Unitary Dual of Crystallography Groups |
| topic | Functional Analysis Group Theory Representation Theory |
| url | https://arxiv.org/abs/2412.00583 |