# How to type some special mathematical expressions or symbols

I have a problem with typing some special mathematical expressions or symbols. They are

# 3:

and I need a refined form of in which the \right> is typed better than it is.

• Each of them is straightforward to obtain with simple arrays or tikz-cd or other tools. However, I fear that if you expect somebody to convert all of these screen shots to LaTeX code, you may be waiting a long time. – Schrödinger's cat Oct 17 at 4:08
• Dear @Schrödinger's cat, what is the tikz-cd ? I have never heard of it. – AYBRXQD Oct 17 at 4:24
• Please see tex.stackexchange.com/questions/tagged/tikz-cd to get an idea. – Schrödinger's cat Oct 17 at 5:40
• The angle brackets are not generally available in sizes larger than you get in the picture. – egreg Oct 17 at 9:00

As for tikz-cd:

\documentclass{article}
\usepackage{amsfonts}
\usepackage{tikz-cd}
\begin{document}
$\begin{tikzcd}[arrows={dash},column sep=0.2ex] & & \mathfrak{u}(6)\arrow[lld]\arrow[rrd]\arrow[d] & & \\ \mathfrak{u}(5) \arrow[dr]& &\arrow[dl] \mathfrak{so}(6) & & \mathfrak{su}(3)\arrow[ddll] \\ & \mathfrak{so}(5)\arrow[dr]& & \phantom{\mathfrak{so}(5)} & \\ & & \mathfrak{so}(3) \arrow[d]& & \\ & & \mathfrak{so}(2) & & \\ \end{tikzcd}\quad\begin{tikzcd}[arrows={dash},column sep=0.2ex] & & A_5\arrow[lld]\arrow[rrd]\arrow[d] & & \\ A_4 \arrow[dr]& &\arrow[dl] D_3 & & A_2\arrow[ddll] \\ & B_2\arrow[dr]& & \phantom{B_2} & \\ & & B_2 \arrow[d]& & \\ & & D_1 & & \\ \end{tikzcd}$
\end{document}


• +1 especially for using fraktur for the algebras ;-) – campa Oct 17 at 9:23
• @campa Thanks! I did not correct the missing \mathfrak{u}(1) factors, nor point out that D_1 is, at least, "unusual". – Schrödinger's cat Oct 17 at 9:25

A possible realization of the first one. There are surely smarter ways but it's enough for something written down before the first coffee...

\documentclass{article}

\usepackage{newtxtext,newtxmath}

\begin{document}

$\left|\, \begin{array}{*{9}{@{}c}@{}} u(6) & {}\supset{} & so(6) & {}\supset{} & so(5) & {}\supset{} & so(3) & {}\supset{} & so(2) \\ \downarrow && \downarrow && \downarrow && \downarrow && \downarrow \\ N && \sigma && \tau,\nu_\Delta && L && M_L \end{array} \,\right\rangle$

\end{document}