Abstract carrier space formalism for the irreducible tensor operators of compact quantum group algebras

John Francis Cornwell

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1 Citation (Scopus)

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 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. (C) 1996 American Institute of Physics.

Original languageEnglish
Pages (from-to)2934-2954
Number of pages21
JournalJournal of Mathematical Physics
Volume37
Publication statusPublished - Jun 1996

Keywords

  • MATRIX PSEUDOGROUPS

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