[數論研討會] 【12月3日】潘戍衍 / On the Unicity and the Ambiguity of Lusztig Parametrizations for Classical Groups

by 許書豪 | 2021-12-02 16:30:53

台師大數學系數論研討會

Seminar on Non-Archimedean  Geometry

Speaker：潘戍衍教授
Job title：清華大學
Title：On the Unicity and the Ambiguity of Lusztig Parametrizations for Classical Groups

Abstract：

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

Source URL: https://virtual.math.ntnu.edu.tw/index.php/2021/12/02/001-49/

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