Braided Chains of q-Deformed Heisenberg Algebrae
نویسنده
چکیده
Given M copies of a q-deformed Weyl or Clifford algebra in the defining representation of a quantum group Gq, we determine a prescription to embed them into a unique, inclusive Gq-covariant algebra. The different copies are “coupled” to each other and are naturally ordered into a “chain”. In the case Gq = SLq(N) a modified prescription yields an inclusive algebra which is even explicitly SLq(M) × SLq(N)-covariant, where SLq(M) is a symmetry relating the different copies. By the introduction of these inclusive algebrae we significantly enlarge the class of Gq-covariant deformed Weyl/Clifford algebrae available for physical applications. *EU-fellow, TMR grant ERBFMBICT960921. e-mail: [email protected]
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