This book covers basic properties of complex reflection groups, such as characterization, Steinberg theorem, Gutkin-Opdam matrices, Solomon theorem and applications, including the basic findings of Springer theory on eigenspaces.

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“It is the aim of the present notes to give an introduction to complex reflection groups in such a way as to lead the reader to the very forefront of research in this area. ... it is a useful addition to the growing literature on complex reflection groups.” (Stephen P. Humphries, Mathematical Reviews, Issue 2011 d)

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