Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

(propose a free ad)

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 $Sl_q(2)$?

Why do you suspect one can?

Drinfeld has already made this work

Where? Then what is your question?

user contributions licensed under cc by-sa 3.0 with attribution required