The magic square of reflections and rotations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866911761082351616 |
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| author | Buchweitz, Ragnar-Olaf Faber, Eleonore Ingalls, Colin |
| author_facet | Buchweitz, Ragnar-Olaf Faber, Eleonore Ingalls, Colin |
| contents | We show how Coxeter's work implies a bijection between complex reflection groups of rank two and real reflection groups in $O(3)$. We also consider this magic square of reflections and rotations in the framework of Clifford algebras: we give an interpretation using (s)pin groups and explore these groups in small dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1806_04600 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | The magic square of reflections and rotations Buchweitz, Ragnar-Olaf Faber, Eleonore Ingalls, Colin Group Theory Rings and Algebras 20F55, 15A66, 11E88, 14E16 We show how Coxeter's work implies a bijection between complex reflection groups of rank two and real reflection groups in $O(3)$. We also consider this magic square of reflections and rotations in the framework of Clifford algebras: we give an interpretation using (s)pin groups and explore these groups in small dimensions. |
| title | The magic square of reflections and rotations |
| topic | Group Theory Rings and Algebras 20F55, 15A66, 11E88, 14E16 |
| url | https://arxiv.org/abs/1806.04600 |