arXiv Open Access 2025

Unipotent representations: changing q to -q

P. Deligne G. Lusztig

Lihat Sumber

Abstrak

Consider a Chevalley group over a finite field $F_q$ such that the longest element of the Weyl group is central. We construct an involution $ξ\mapstoξ^!$ of the set of unipotent representations of this group such that the degree polynomial of a unipotent representation $ξ$ is obtained up to sign from the degree polynomial of $ξ^!$ by changing $q$ to $-q$.

Topik & Kata Kunci

math.RT

Penulis (2)

P. Deligne

G. Lusztig

Format Sitasi

APA MLA BibTeX

Deligne, P., Lusztig, G. (2025). Unipotent representations: changing q to -q. https://arxiv.org/abs/2508.13951

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓