latex-setup
My personal LaTeX setup 🦁️⚙️
Name | Size | Mode | |
.. | |||
xgeometry.sty | 2717B | -rw-r--r-- |
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\NeedsTeXFormat{LaTeX2e}[1994/06/01] \ProvidesPackage{xgeometry}[2021/02/09 1.0.0 Usefull definitions for Riemannian geometry and Lie groups/algebras] \RequirePackage{amssymb} % For the standard sets \RequirePackage{amsmath} % For \DeclareMathOperator \RequirePackage{tikz} % For \tikzset % Smooth manifolds \DeclareMathOperator{\Der}{Der} % Algebra of formal derivations on a manifold % Riemannian geometry \newcommand{\g}{\mathrm{g}} % Reimannian metric \DeclareMathOperator{\Iso}{Iso} % Isometry group \DeclareMathOperator{\Hol}{Hol} % Holonomy group % Diferential forms \newcommand{\exterior}{\mathrm{d}} % The exterior derivative \newcommand{\dd}{\exterior} % Alias for \exterior \newcommand{\dx}{\exterior x} % dx \newcommand{\dy}{\exterior y} % dy \newcommand{\dz}{\exterior z} % dz \newcommand{\dt}{\exterior t} % dt % Lie groups and algebras \DeclareMathOperator{\GL}{GL} % General linear group \DeclareMathOperator{\SL}{SL} % Simple linear group \DeclareMathOperator{\SO}{SO} % Simple orthogonal group \DeclareMathOperator{\SU}{SU} % Simple unitary group \DeclareMathOperator{\Sp}{Sp} % Sympletic group \newcommand{\PR}{\mathbb{PR}} % Projective real group \newcommand{\RP}{\mathbb{RP}} % Projective real group \newcommand{\PC}{\mathbb{PC}} % Projective complex group \newcommand{\CP}{\mathbb{CP}} % Projective complex group \DeclareMathOperator{\PGL}{PGL} % Projective general linear group \DeclareMathOperator{\PSL}{PSL} % Projective general linear group \newcommand{\gl}{\mathfrak{gl}} % Lie algebra of \GL \renewcommand{\sl}{\mathfrak{sl}} % Lie algebra of \SL \newcommand{\so}{\mathfrak{so}} % Lie algebra of \SO % The following is ommited because \sp is a spacing character % \renewcommand{\sp}{\mathfrak{sp}} % Lie algebra of \Sp \newcommand{\pr}{\mathfrak{pr}} % Lie algebra of \PR \newcommand{\rp}{\mathfrak{rp}} % Lie algebra of \RP \newcommand{\pc}{\mathfrak{pC}} % Lie algebra of \PC \newcommand{\cp}{\mathfrak{cp}} % Lie algebra of \CP \newcommand{\pgl}{\mathfrak{pgl}} % Lie algebra of \PGL \newcommand{\psl}{\mathfrak{psl}} % Lie algebra of \PSL % Representation theory of Lie groups and algebras \DeclareMathOperator{\Ad}{Ad} \DeclareMathOperator{\ad}{ad} % Projective spaces \renewcommand{\RP}{{\mathbb{R}\mathrm{P}}} \renewcommand{\CP}{{\mathbb{C}\mathrm{P}}} % Double Hat! (for Pontryagin duals of Pontryagin duals) \makeatletter \newcommand{\doublehat}[1]{% \begingroup% \let\macc@kerna\z@% \let\macc@kernb\z@% \let\macc@nucleus\@empty% \widehat{\raisebox{.5ex}{\vphantom{\ensuremath{#1}}}\smash{\widehat{#1}}}% \endgroup% } \makeatother