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4 papers
Motivic Galois representations valued in Spin groups
Shiang Tang
Let be an integer such that and . We construct strictly compatible systems of representations of $Γ_{\mathbb Q} \to \mathrm{Spin}_m(\overline{…
Potential automorphy of -valued Galois representations
Stefan Patrikis, Shiang Tang
We prove a potentially automorphy theorem for suitable Galois representations and $Γ_{F^+} \to \mathrm{GSpin}_{2n+1}(\o…
Algebraic monodromy groups of -adic representations of
Shiang Tang
In this paper we prove that for any connected reductive algebraic group G and a large enough prime , there are continuous homomorphisms $$\mathrm{Gal}(\bar\mathbb Q/\mathbb Q) \…
Principal series representations of metaplectic groups
Shiang Tang
We study the principal series representations of central extensions of a split reductive algebraic group by a cyclic group of order . We compute the Plancherel measure of the re…