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blackboard bold H, not cal H, for quaternions
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blueprint/src/chapter/chtopbestiary.tex

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@@ -196,7 +196,7 @@ \section{Automorphic forms and representations}
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\begin{proof} See Flath's article in~\cite{corvallis1}.
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\end{proof}
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As mentioned above, we only need all of this for abelian algebraic groups and for inner forms of $\GL_2$ over totally real fields, where everything can be made more concrete (and in particular where I can write down concrete definitions, although this still needs to be done). In particular, we don't strictly speaking need all of the above, we could just cheat and deal with $\GL_2(\R)$ and $\calH^\times$ separately.
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As mentioned above, we only need all of this for abelian algebraic groups and for inner forms of $\GL_2$ over totally real fields, where everything can be made more concrete (and in particular where I can write down concrete definitions, although this still needs to be done). In particular, we don't strictly speaking need all of the above, we could just cheat and deal with $\GL_2(\R)$ and $\bbH^\times$ separately.
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The theorems I need are: Jacquet-Langlands for inner forms of $\GL_2$ over totally real fields,
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and multiplicity 1 for these inner forms. We also need cyclic base change plus classification of image, all for totally definite quaternion algebras, and we need

blueprint/src/macro/common.tex

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\newcommand{\GN}{\Gal(\overline{N}/N)}
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\newcommand{\Kbar}{\overline{K}}
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\newcommand{\calO}{\mathcal{O}}
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\newcommand{\calH}{\mathcal{H}}
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\newcommand{\bbH}{\mathbb{H}}
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\newcommand{\p}{{\mathfrak{p}}}
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\DeclareMathOperator{\Gal}{Gal}
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\DeclareMathOperator{\avoid}{avoid}

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