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PreprintCC BY 4.0arXiv

A finiteness result for split exceptional dual pairs

Abstract

We prove that big theta lifts have finite length for thirteen split exceptional dual pairs arising from the minimal representations of the split real groups of types E6, E7, and E8.

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BibTeX
@misc{loke2026finiteness,
  title = {{A finiteness result for split exceptional dual pairs}},
  author = {Hung Yean Loke and Gordan Savin},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.38222},
  eprint = {2610.38222},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.38222},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A finiteness result for split exceptional dual pairs
AU  - Hung Yean Loke
AU  - Gordan Savin
PY  - 2026
DA  - 2026/10/28
PB  - arXiv
DO  - 10.48550/arxiv.2610.38222
UR  - https://arxiv.org/abs/2610.38222
AB  - We prove that big theta lifts have finite length for thirteen split exceptional dual pairs arising from the minimal representations of the split real groups of types E_6, E_7, and E_8.
ER  -