arXiv Open Access 2020

Lift of the trivial representation to a nonlinear double cover

Wan-Yu Tsai

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Abstrak

Let $\widetilde G$ be the nonlinear double cover of the real points of a connected, simply connected, semisimple complex group. In [Ts], we introduce a set of genuine small representations of $\widetilde G$ with infinitesimal character $λ$, denoted $\prod _λ^s (\widetilde G)$. In this paper, we show that $\prod _{ρ/2} ^s (\widetilde G)$ is precisely the set of genuine irreducible representations arising from the Kazhdan-Patterson lifting of the trivial representation, when $\widetilde G$ is simply laced and split.

Topik & Kata Kunci

math.RT

Penulis (1)

Wan-Yu Tsai

Format Sitasi

APA MLA BibTeX

Tsai, W. (2020). Lift of the trivial representation to a nonlinear double cover. https://arxiv.org/abs/2006.06369

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Informasi Jurnal

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