80.2 Operations for complex reflection groups

All permutation group operations are defined on complex reflection groups. The following operations and functions have been rewritten to take advantage of the particular structure of reflection groups:

Print:

prints a complex reflection group in a form that can be input back in GAP.

ReflectionDegrees:

the list of reflection degrees.

Size:

Uses the product of the ReflectionDegrees to work faster.

FakeDegrees(W,q):

The list of fake degrees as polynomials in q.

ReflectionCharValue(W,w):

The value of the reflection character on the element w of W, given as a permutation of the roots.

These functions require the package "chevie" (see RequirePackage).

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