DOAJ Open Access 2020

The generalized Gelfand–Graev characters of GLn(Fq)

Scott Andrews Nathaniel Thiem

Lihat Sumber DOI

Abstrak

Introduced by Kawanaka in order to find the unipotent representations of finite groups of Lie type, gener- alized Gelfand–Graev characters have remained somewhat mysterious. Even in the case of the finite general linear groups, the combinatorics of their decompositions has not been worked out. This paper re-interprets Kawanaka's def- inition in type A in a way that gives far more flexibility in computations. We use these alternate constructions to show how to obtain generalized Gelfand–Graev representations directly from the maximal unipotent subgroups. We also explicitly decompose the corresponding generalized Gelfand–Graev characters in terms of unipotent representations, thereby recovering the Kostka–Foulkes polynomials as multiplicities.

Topik & Kata Kunci

Mathematics

Penulis (2)

Scott Andrews

Nathaniel Thiem

Format Sitasi

APA MLA BibTeX

Andrews, S., Thiem, N. (2020). The generalized Gelfand–Graev characters of GLn(Fq). https://doi.org/10.46298/dmtcs.6406

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6406

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6406
Akses: Open Access ✓