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Sorry for the noob question, I'm writing a paper on quaternions for a linear algebra class and I decided it would be a good time to start learning LaTex.

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    Well the "fancy R" (a blackboard bold R) is \mathbb{R} (requires amssymb or amsfonts). The "fancy H" is the same, \mathbb{H}. If you are using something like \R that's a custom command, it's not a pre-defined command. You can define a custom command for the blackboard bold H as well, but I would not recommend making it \H because that is already used for the double acute accent as in Erdős (Erd\H{o}s). Best go for something \newcommand{\qtrnions}{\mathbb{H}} – Au101 Jul 30 '17 at 21:36
  • Welcome to TeX SX! You have two possibilities: \mathbb{H} for blackboard bold, or \mathbf{H} for the old-style (real) boldface. – Bernard Jul 30 '17 at 21:36
  • There's also Unicode ℍ, requires XeLaTeX, for example –  Jul 30 '17 at 22:44

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Here's the XeLaTeX (or LuaLaTeX) way by typing the unicode sequence (or copying over from some char table/text).

The ℍ character has the code U-210D.

Of course, the used font must support this character.

\documentclass{article}

\usepackage{libertine}% Just as an example


\begin{document}
Use for example ℍ (DOUBLE-STRUCK CAPITAL H), i.e. U-210D for this. 
\end{document}

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