BBot
Apr 22'25
Exercise
[math]
\newcommand{\mathds}{\mathbb}[/math]
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Find suitable quantum group axioms covering the quantum isometry groups of the main polygonal spheres, namely
[[math]]
\xymatrix@R=12mm@C=17mm{
O_N\ar[r]&O_N^*\ar[r]&O_N^+\\
H_N\ar[r]\ar[u]&H_N^{[\infty]}\ar[r]\ar[u]&\bar{O}_N^*\ar[u]\\
H_N^+\ar[r]\ar[u]&H_N\ar[r]\ar[u]&\bar{O}_N\ar[u]}
[[/math]]
and then do the same in the complex case.