dorsal/arxiv
View SchemaAbstract carrier space formalism for the irreducible tensor operators of compact quantum group algebras
| Authors | J. F. Cornwell |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9606002 |
| URL | https://arxiv.org/abs/q-alg/9606002 |
| DOI | 10.1063/1.531547 |
Abstract
Defining conditions for irreducible tensor operators associated with the unitary irreducible corepresentations of compact quantum group algebras are deduced within the framework of the abstract carrier space formalism. It is shown that there are {\em{two}} types of irreducible tensor operator, which may be called `ordinary' and `twisted'. The consistency of the definitions is demonstrated, and various consequences are deduced, including generalizations of the Wigner-Eckart theorem for both the ordinary and twisted operators. Examples of irreducible tensor operators for the standard deformation of the function algebra of the compact Lie group $SU(2)$ are described to demonstrate the applicability of the new definitions.
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"abstract": "Defining conditions for irreducible tensor operators associated with the\nunitary irreducible corepresentations of compact quantum group algebras are\ndeduced within the framework of the abstract carrier space formalism. It is\nshown that there are {\\em{two}} types of irreducible tensor operator, which may\nbe called `ordinary\u0027 and `twisted\u0027. The consistency of the definitions is\ndemonstrated, and various consequences are deduced, including generalizations\nof the Wigner-Eckart theorem for both the ordinary and twisted operators.\nExamples of irreducible tensor operators for the standard deformation of the\nfunction algebra of the compact Lie group $SU(2)$ are described to demonstrate\nthe applicability of the new definitions.",
"arxiv_id": "q-alg/9606002",
"authors": [
"J. F. Cornwell"
],
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"doi": "10.1063/1.531547",
"title": "Abstract carrier space formalism for the irreducible tensor operators of compact quantum group algebras",
"url": "https://arxiv.org/abs/q-alg/9606002"
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