Non-commutative space-time and quantum groups (Q2737702)
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scientific article; zbMATH DE number 1638878
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-commutative space-time and quantum groups |
scientific article; zbMATH DE number 1638878 |
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30 August 2001
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quantum group
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non-commutative space time
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Heisenberg relations
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Non-commutative space-time and quantum groups (English)
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A noncommutative algebra with an (co)action of the quantum group \(SO_q(3)\) is introduced and its representations studied. This algebra is to be understood as a noncommutative space-time. It is shown that in order to impose the (deformed) Heisenberg-type commutation relations, while preserving the self-adjointness of deformed momenta and positions, and the PBW property, this algebra has to be extended by an additional generator.NEWLINENEWLINEFor the entire collection see [Zbl 0967.00038].
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