Complex Reflection Group

In mathematics, a complex reflection group is a group acting on a finite-dimensional complex vector space, that is generated by complex reflections: non-trivial elements that fix a complex hyperplane in space pointwise. (Complex reflections are sometimes called pseudo reflections or unitary reflections or sometimes just reflections.)

Read more about Complex Reflection GroupClassification, List of Irreducible Complex Reflection Groups, Degrees, Codegrees, Well-generated Complex Reflection Groups

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Well-generated Complex Reflection Groups
... An irreducible complex reflection group of rank is generated by or by reflections ... It is said to be well-generated if it is generated by reflections it is proved that this is equivalent to the property for all ... For irreducible well-generated complex reflection groups, the Coxeter number is defined to be the largest degree ...

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