Some combinatorial results for complex reflection groups (Q1277311)

The aim of this paper is to prove some results involving complex reflection groups which are useful in an application to give a combinatorial construction of representations of such a group. The results in this paper (and the approach; generalizing the Young tableau method for (generalized) symmetric groups) are the complex analogues of the results obtained by \textit{A. J. Idowu, A. O. Morris} [Math. Proc. Camb. Philos. Soc. 101, 405-420 (1987; Zbl 0656.20045)] for real crystallographic group root systems and their reflection groups (i.e. Weyl groups).