Triangle commutative diagram with xymatrix

I'm using the xymatrix package (which I think is more friendly than tikz package), and I've been trying to do a simple triangle diagram with a circle arrow in the middle. I mean, I've done this one:

\documentclass{article}
\usepackage[all]{xy}
\begin{document}
$\xymatrix { & \mathcal{L} \ar[dl]_{\pi_j} \ar[dr]^{\pi_i} & \\ G_j \ar[rr]_{\pi_i^j} & & G_i }$
\end{document}


and I want to add a circle arrow in the middle. I've tried to add rows, but the diagonal arrows became crazy, and the result is awful.

• Welcome to TeX.SX! Can you sketch (e.g. by hand) how the final result should look like? – gernot Apr 13 '17 at 16:36

Like this?

\documentclass{article}
\usepackage[all]{xy}
\begin{document}
$\xymatrix { & \mathcal{L} \ar[dl]_{\pi_j} \ar[dr]^{\pi_i} \ar[d]|-{\circ} & \\ G_j \ar[rr]_{\pi_i^j} & & G_i }$
\end{document}


Do you know tikz-cd package? It's not so difficult:

\documentclass{article}
\usepackage{tikz-cd}
\usepackage{stix}
\begin{document}
\begin{tikzcd}[column sep=small, row sep=small]
& \mathcal{L} \arrow{ddl}[swap]{\pi_{j}} \arrow{ddr}{\pi_{i}} &\\
& \circlearrowleft &\\[-2ex]
G_{j} \arrow{rr}[swap]{\pi_{i}^{j}} & & G_{i} \\
\end{tikzcd}
\end{document}


We're all still guessing what you want it to look like, but here's an attempt:

You'd get that with:

\documentclass{article}
\usepackage{amssymb}
\usepackage[cmtip,all]{xy}

\begin{document}

$\xymatrix{ & \mathcal{L} \ar[dl]_{\pi_j} \ar[dr]^{\pi_i} \ar@{}[d]|-{\circlearrowleft} \\ G_j \ar[rr]_{\pi_i^j} && G_i }$

\end{document}