arXiv Open Access 2020

Resolutions of locally analytic principal series representations of $GL_2$

Aranya Lahiri

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Abstrak

For a finite field extension $F/\mathbb{Q}_p$ we associate a coefficient system attached on the Bruhat-Tits tree of $G:= {\rm GL}_2(F)$ to a locally analytic representation $V$ of $G$. This is done in analogy to the work of Schneider and Stuhler for smooth representations. This coefficient system furnishes a chain-complex which is shown, in the case of locally analytic principal series representations $V$, to be a resolution of $V$.

Topik & Kata Kunci

math.RT

Penulis (1)

Aranya Lahiri

Format Sitasi

APA MLA BibTeX

Lahiri, A. (2020). Resolutions of locally analytic principal series representations of $GL_2$. https://arxiv.org/abs/2008.04503

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓