Question

The $q$-space is defined by the following equations over $(x,y,z)$:

$xy=qyx$

$yz=qzy$

$zx=qxz$

The transformations of the $q$-space are matrices $A$ such that $A$ and $A^t$ are automorphisms of the relations. We obtain so $36=2.18$ relations for the coefficients of $A$. Can we have a quantum group with this construction following the definition of the $q$-plane and $Sl_q(2)$?

Comments

Why do you suspect one can?

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Drinfeld has already made this work

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Where? Then what is your question?