Decomposition of tensor product representations of the unitary matrix quantum group SUq(2)

M. Arik*, A. Peker-Dobie

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Representations of SUq(2) are labeled by a phase playing the role of a Casimir operator. The coproduct SUq(2) is used to form direct product representations which can be reduced to irreducible ones. Direct product of two representations with given phases can be reduced to a representation with any given phase. Coefficients necessary for this procedure are calculated. The calculation can also be performed in the Fourier transformed space which replaces the phase by an integer.

Original languageEnglish
Pages (from-to)1150-1155
Number of pages6
JournalJournal of Mathematical Physics
Volume45
Issue number3
DOIs
Publication statusPublished - Mar 2004

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