Seminar on Non-Archimedean Geometry
Title：On the Unicity and the Ambiguity of Lusztig Parametrizations for Classical Groups
For a finite group of Lie type, Lusztig constructs
1. a partition of the set of irreducible characters into Lusztig series indexed by the conjugacy classes of semisimple elements of the dual group,
2. a bijection from the Lusztig series indexed by $s$ into the set of unipotent characters of the centralizer of $s$ in the dual group, and
3. a bijection from the set of unipotent characters into the set of “symbols” of the group.
In this talk, I would like to discuss the unicity and the ambiguity of the above parametrization. for finite classical groups.
Time: Dec. 3 (Fri.), 15:30 p.m., 2021
Place: Room 104, Department of Mathematics, NTNU