Corpus ID: 223953370

# Galois representations for even general special orthogonal groups

@article{Kret2020GaloisRF,
title={Galois representations for even general special orthogonal groups},
author={Arno Kret and Sug Woo Shin},
journal={arXiv: Number Theory},
year={2020}
}
• Published 2020
• Mathematics
• arXiv: Number Theory
We prove the existence of $\mathrm{GSpin}_{2n}$-valued Galois representations corresponding to cohomological cuspidal automorphic representations of certain quasi-split forms of $\mathrm{GSO}_{2n}$ under the local hypotheses that there is a Steinberg component and that the archimedean parameters are regular for the standard representation. This is based on the cohomology of Shimura varieties of abelian type, of type $D^{\mathbb{H}}$, arising from forms of $\mathrm{GSO}_{2n}$. As an application… Expand
2 Citations
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