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In mathematics, a complex reflection group is a finite group acting on a finite-dimensional complex vector space that is generated by complex reflections: non-trivial elements that fix a complex hyperplane pointwise.
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group reflection groups complex order coxeter irreducible shephard finite rank reflections displaystyle real degrees cases number well-generated vector symmetric unitary
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Complex reflection group | is a | finite group acting on a finite-dimensional complex vector space that is generated by complex reflections | 0.90 | text |
| Complex reflection group | is a | product of irreducible complex reflection groups | 0.90 | text |
| Complex reflection group | is a | product of its degrees.The number of reflections is the sum of the degrees minus the rank.An irreducible complex reflection group comes from a real reflection group if and only… | 0.90 | text |
| Complex reflection group | related to Classification | Any | 0.60 | section |
| Complex reflection group | related to Classification | So | 0.60 | section |
| Complex reflection group | related to Classification | The | 0.60 | section |
| Complex reflection group | related to Classification | Geoffrey Colin Shephard | 0.60 | section |
| Complex reflection group | related to Classification | Todd | 0.60 | section |
| Complex reflection group | related to Classification | They | 0.60 | section |
| Complex reflection group | related to Classification | Sym | 0.60 | section |
| Complex reflection group | related to Classification | As | 0.60 | section |
| Complex reflection group | related to Definition | GL | 0.60 | section |
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