Result: Decomposition of tensor product representations of the unitary matrix quantum group SUq(2): Decomposition of tensor product representations of the unitary matrix quantum group \(\text{SU}_ q(2)\).

Title:
Decomposition of tensor product representations of the unitary matrix quantum group SUq(2): Decomposition of tensor product representations of the unitary matrix quantum group \(\text{SU}_ q(2)\).
Source:
Journal of Mathematical Physics. 45:1150-1155
Publisher Information:
AIP Publishing, 2004.
Publication Year:
2004
Document Type:
Academic journal Article<br />Other literature type
File Description:
application/xml
Language:
English
ISSN:
1089-7658
0022-2488
DOI:
10.1063/1.1644753
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....498ecbfdfa89343af38c42e17759f191
Database:
OpenAIRE

Further Information

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.