arXiv Open Access 2026

Derived Weil Representation and Relative Langlands Duality

Haoshuo Fu
Lihat Sumber

Abstrak

The Weil representation is a particularly significant linear representation of the metaplectic group, used in the study of theta correspondence. In this paper, I introduce a derived category version of the Weil representation in the local field case. For the dual pair $ (\mathrm{GL}_n,\mathrm{GL}_m) $, I give a coherent description of this category, in the philosophy of relative Langlands duality.

Topik & Kata Kunci

Penulis (1)

H

Haoshuo Fu

Format Sitasi

Fu, H. (2026). Derived Weil Representation and Relative Langlands Duality. https://arxiv.org/abs/2603.26058

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2026
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓