A Plethysm formula on the characteristic map of induced linear characters from U-n(F-q) to GL(n)(F-q)

作者：Chen Zhi^*

来源：Electronic Journal of Combinatorics, 2013, 20(3): P12.

• representation theory
• induced characters
• symmetric functions
• supercharacter theory

This paper gives a plethysm formula on the characteristic map of the induced linear characters from the unipotent upper-triangular matrices U-n(F-q) to GL(n)(F-q), the general linear group over finite field Fq. The result turns out to be a multiple of a twisted version of the Hall-Littlewood symmetric functions (P) over tilde (n)[Y; q]. A recurrence relation is also given which makes it easy to carry out the computation.

• 出版日期2013-8-9