✦ LIBER ✦

On the implementation of SμU(2) action in the irreducible representations of twisted canonical commutation relations

✍ Scribed by Wieslaw Pusz

Publisher: Springer
Year: 1991
Tongue: English
Weight: 371 KB
Volume: 21
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00414636

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✦ Synopsis

The natural SuU(2) action on the creation and annihilation operators satisfying twisted canonical commutation relations (TCCR) is investigated. It is shown that the Fock representation is the only covariant irreducible representation of TCCR.

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The twisted SU(3) group. Irreducible*-re

The twisted SU(3) group. Irreducible*-representations of theC*-algebraC(SμU(3))

✍ Kazimierz Bragiel 📂 Article 📅 1989 🏛 Springer 🌐 English ⚖ 219 KB

Irreducible \*-representations of C(S,U(3)) are constructed for #e]0, 1[. It is proved that C(S,U(3)) is a type-I C\*-algebra.