タイトル： Green functions associated to complex reflection groups (3)

アブストラクト

In the previous talk, we explained that the notion of "symbols" arises naturally when one considers the unipotent conjugacy classes of finite symplectic groups or finite special orthogonal groups, which is a generalization of "partitions" in the case of finite general linear groups.

In this talk, we develope the combinatorics associated to symbols, and construct several symmetric functions parametrized by symbols. We show that this type of combinatorics fit well for the case of finite classical groups, and also they make sense even for a more general situation related to complex reflection groups.