Brauer's 14th Problem and Dyson's Tenfold Way
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909666330542080 |
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| author | Rumynin, Dmitriy Taylor, James |
| author_facet | Rumynin, Dmitriy Taylor, James |
| contents | We consider Brauer's 14th Problem in the context of "Real" structures on finite groups and their antilinear representations. The problem is to count the number of characters of each different type using "group theory". While Brauer's original problem deals only with three types (real, complex and quaternionic), here we consider the ten types coming from Dyson's tenfold way. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_10590 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Brauer's 14th Problem and Dyson's Tenfold Way Rumynin, Dmitriy Taylor, James Group Theory Representation Theory Primary 20C15, Secondary 20D60 We consider Brauer's 14th Problem in the context of "Real" structures on finite groups and their antilinear representations. The problem is to count the number of characters of each different type using "group theory". While Brauer's original problem deals only with three types (real, complex and quaternionic), here we consider the ten types coming from Dyson's tenfold way. |
| title | Brauer's 14th Problem and Dyson's Tenfold Way |
| topic | Group Theory Representation Theory Primary 20C15, Secondary 20D60 |
| url | https://arxiv.org/abs/2503.10590 |