Green Functions Associated to Complex Reflection Groups G(e, 1, n)

Green functions of classical groups are determined by the data from Weyl groups and by certain combinatorial objects called symbols. Generalizing this, we define Green functions associated to complex reflection groups G(e, 1, n). We also construct Hall-Littlewood functions and Schur functions associated to G(e, 1, n), and show that the above Green functions are obtained as a transition matrix between those two symmetric functions. The details of this paper will appear elsewhere.