Semantic Scholar Open Access 2024 1 sitasi

Generic decompositions of Deligne--Lusztig representations

Daniel Le B. Hung B. Levin Stefano Morra

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Abstrak

Let $G_0$ be a reductive group over $\mathbb{F}_p$ with simply connected derived subgroup, (geometrically) connected center and Coxeter number $h+1$. We extend Jantzen's generic decomposition pattern from $(2h-1)$-generic to $h$-generic Deligne--Lusztig representations, which is optimal. We also prove several results on the ``obvious'' Jordan--H\"older factors of general Deligne--Lusztig representations. As an application we improve the weight elimination result of arXiv:1610.04819 [math.NT]

Topik & Kata Kunci

Mathematics

Penulis (4)

Daniel Le

B. Hung

B. Levin

Stefano Morra

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APA MLA BibTeX

Le, D., Hung, B., Levin, B., Morra, S. (2024). Generic decompositions of Deligne--Lusztig representations. https://www.semanticscholar.org/paper/a40e387afcb88db97b7e5d276cf61a6e72b201af

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Total Sitasi: 1×
Sumber Database: Semantic Scholar
Akses: Open Access ✓