On the implementation of \(S_{\mu{}}U(2)\) action in the irreducible representations of twisted canonical commutation relations (Q1174249)
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scientific article; zbMATH DE number 8333
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the implementation of \(S_{\mu{}}U(2)\) action in the irreducible representations of twisted canonical commutation relations |
scientific article; zbMATH DE number 8333 |
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On the implementation of \(S_{\mu{}}U(2)\) action in the irreducible representations of twisted canonical commutation relations (English)
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25 June 1992
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The twisted canonical commutation relations (TCCR for short) were introduced by the author and \textit{S. L. Woronowicz} [Rep. Math. Phys. 27, 231-257 (1989; Zbl 0707.47039)], as well as their Fock representation. The author shows that, in the case \(N=2\), the latter is the unique irreducible representation of the TCCR giving rise to a unitary representation of \(S_ \mu U(2)\).
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quantum groups
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canonical commutation relations
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Fock representation
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irreducible representation
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