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 Post subject: Recreating a diagram
PostPosted: Sun, 22 Apr 2012 01:08:13 UTC 
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I want to incorporate a diagram similar to the commutative diagram at the top of page 20 of http://users.aims.ac.za/~franceso/franceso.pdf, but I have no idea how to line it all up in LaTeX, so I was wondering if anyone could show/tell me how to do it. Thanks!

Edit: My real problem is how to do the vertical lines and how to make my arrows longer - for some reason when I type in \rightarrow it's not as long as the arrows in the diagram.

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 Post subject: Re: Recreating a diagram
PostPosted: Sun, 22 Apr 2012 03:45:13 UTC 
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You can f.i. use the "picture" environment
p.119ff in Lamport's book...

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 Post subject: Re: Recreating a diagram
PostPosted: Sun, 22 Apr 2012 05:21:16 UTC 
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peccavi_2006 wrote:
I want to incorporate a diagram similar to the commutative diagram at the top of page 20 of http://users.aims.ac.za/~franceso/franceso.pdf, but I have no idea how to line it all up in LaTeX, so I was wondering if anyone could show/tell me how to do it. Thanks!

Edit: My real problem is how to do the vertical lines and how to make my arrows longer - for some reason when I type in \rightarrow it's not as long as the arrows in the diagram.


Are you using amscd, XY or TikZ?

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\begin{aligned}
Spin(1)&=O(1)=\mathbb{Z}/2&\quad&\text{and}\\
Spin(2)&=U(1)=SO(2)&&\text{are obvious}\\
Spin(3)&=Sp(1)=SU(2)&&\text{by }q\mapsto(\mathop{\mathrm{Im}}\mathbb{H}\ni p\mapsto qp\bar{q})\\
Spin(4)&=Sp(1)\times Sp(1)&&\text{by }(q_1,q_2)\mapsto(\mathbb{H}\ni p\mapsto q_1p\bar{q_2})\\
Spin(5)&=Sp(2)&&\text{by }\mathbb{HP}^1\cong S^4_{round}\hookrightarrow\mathbb{R}^5\\
Spin(6)&=SU(4)&&\text{by the irrep }\Lambda_+\mathbb{C}^4
\end{aligned}


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 Post subject: Re: Recreating a diagram
PostPosted: Sun, 22 Apr 2012 11:40:42 UTC 
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Checking my preamble, I've got
\usepackage{graphicx,amssymb,amstext,amsmath}
(sorry if that doesnt answer your question - I'm not really sure how it works, I'm using the standard set-up the uni gives me)

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 Post subject: Re: Recreating a diagram
PostPosted: Sun, 22 Apr 2012 12:02:48 UTC 
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peccavi_2006 wrote:
Checking my preamble, I've got
\usepackage{graphicx,amssymb,amstext,amsmath}
(sorry if that doesnt answer your question - I'm not really sure how it works, I'm using the standard set-up the uni gives me)


Maybe you should consider \usepackage{amscd} (\begin{CD}...\end{CD}, only support squares (horizontal & vertical arrows)) or \usepackage[all]{xy} (\xymatrix{...}, more programmer friendly) or \usepackage{tikz}\usetikzlibrary{matrix,arrows} (or the tikz-cd package which makes it a little easier, very user-friendly (e.g. "bend left" as oppose to ^/1em/ or something in xymatrix)). You might need to download the package(s) from CTAN. There are official documentation on CTAN, and unofficial guides in many places if you google --- for example, J.S. Milne has got a guide to commutative diagrams.

Doing commutative diagrams bare-hand with array/picture environment is painful. Don't do it unless you absolutely have to.

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\begin{aligned}
Spin(1)&=O(1)=\mathbb{Z}/2&\quad&\text{and}\\
Spin(2)&=U(1)=SO(2)&&\text{are obvious}\\
Spin(3)&=Sp(1)=SU(2)&&\text{by }q\mapsto(\mathop{\mathrm{Im}}\mathbb{H}\ni p\mapsto qp\bar{q})\\
Spin(4)&=Sp(1)\times Sp(1)&&\text{by }(q_1,q_2)\mapsto(\mathbb{H}\ni p\mapsto q_1p\bar{q_2})\\
Spin(5)&=Sp(2)&&\text{by }\mathbb{HP}^1\cong S^4_{round}\hookrightarrow\mathbb{R}^5\\
Spin(6)&=SU(4)&&\text{by the irrep }\Lambda_+\mathbb{C}^4
\end{aligned}


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 Post subject: Re: Recreating a diagram
PostPosted: Sun, 22 Apr 2012 12:32:56 UTC 
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Awesome - thanks outermeasure.

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