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• W3093373661 abstract "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, under similar hypotheses, we compute automorphic multiplicities, prove meromorphic continuation of (half) spin $L$-functions, and improve on the construction of $mathrm{SO}_{2n}$-valued Galois representations by removing the outer automorphism ambiguity." @default.
• W3093373661 created "2020-10-22" @default.
• W3093373661 creator A5079356801 @default.
• W3093373661 creator A5083025787 @default.
• W3093373661 date "2020-10-16" @default.
• W3093373661 modified "2023-09-27" @default.
• W3093373661 title "Galois representations for even general special orthogonal groups" @default.
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• W3093373661 hasPublicationYear "2020" @default.
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