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 Group: Classification, List of Irreducible Complex Reflection Groups, Degrees, Codegrees, Well-generated Complex Reflection Groups

### Other articles related to "complex reflection group, reflections, complex reflection groups":

**Complex Reflection Group**s

... 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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