# Hopf algebra and quantum double

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the quantum double of SL(2,R) the transition from a Minkowski to SL(2;R) momentum space translates for the structure of relativistic symmetries in a deformation of the Poincare group to the quantum double of SL(2;R), a quantum group denoted as D(SL(2;R)). so far no one has been working in this field? I don't understand this definition...

This post imported from StackExchange Physics at 2014-09-29 16:55 (UTC), posted by SE-user user52399

edited Sep 30, 2014
What is your question? Also, consider adding relevant links to the terminology in your question as well as using MathJaX to display formulae.

This post imported from StackExchange Physics at 2014-09-29 16:55 (UTC), posted by SE-user ACuriousMind
What definition? I don't understand any part of your question.

This post imported from StackExchange Physics at 2014-09-29 16:55 (UTC), posted by SE-user zibadawa timmy
Refs point to this paper as the one to introduce the quantum double.

This post imported from StackExchange Physics at 2014-09-29 16:55 (UTC), posted by SE-user Void
The OP seems to be asking for the definition of a Drinfel'd double of a quantum deformation of SL(2,R) related to non-commutative spacetime symmetries. I think you should reopen because quantum groups are well known and important in mathematical physics and integrability theory. Here is a reference for the question: sciencedirect.com/science/article/pii/S0370269314001920

This post imported from StackExchange Physics at 2014-09-29 16:55 (UTC), posted by SE-user Bubble
i want to understand the definition of quantum double. when i read this field i confused.

This post imported from StackExchange Physics at 2014-09-29 16:55 (UTC), posted by SE-user user52399

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