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Fusion rules and R-matrices for representations of SL(2)$_{q}$ at roots of unity
We recall the classification of the irreducible representations of $SL(2)_q$, and then give fusion rules for these representations. We also consider the problem of $\cR$-matrices, intertwiners of the differently ordered tensor products of these representations, and satisfying altogether Yang--Baxter...
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| Lenguaje: | eng |
| Publicado: |
1992
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| Acceso en línea: | http://cds.cern.ch/record/234334 |
| _version_ | 1780884496849043456 |
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| author | Arnaudon, Daniel |
| author_facet | Arnaudon, Daniel |
| author_sort | Arnaudon, Daniel |
| collection | CERN |
| description | We recall the classification of the irreducible representations of $SL(2)_q$, and then give fusion rules for these representations. We also consider the problem of $\cR$-matrices, intertwiners of the differently ordered tensor products of these representations, and satisfying altogether Yang--Baxter equations. |
| id | cern-234334 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1992 |
| record_format | invenio |
| spelling | cern-2343342023-03-14T18:52:56Zhttp://cds.cern.ch/record/234334engArnaudon, DanielFusion rules and R-matrices for representations of SL(2)$_{q}$ at roots of unityMathematical Physics and MathematicsParticle Physics - TheoryWe recall the classification of the irreducible representations of $SL(2)_q$, and then give fusion rules for these representations. We also consider the problem of $\cR$-matrices, intertwiners of the differently ordered tensor products of these representations, and satisfying altogether Yang--Baxter equations.We recall the classification of the irreducible representations of $SL(2)_q$, and then give fusion rules for these representations. We also consider the problem of $\cR$-matrices, intertwiners of the differently ordered tensor products of these representations, and satisfying altogether Yang--Baxter equations. This is a contribution to the Vth Conference on Mathematical Physics, Edirne, Turkey 15-22 Dec. 1991.hep-th/9203011CERN-TH-6416-92CERN-TH-6416-92oai:cds.cern.ch:2343341992 |
| spellingShingle | Mathematical Physics and Mathematics Particle Physics - Theory Arnaudon, Daniel Fusion rules and R-matrices for representations of SL(2)$_{q}$ at roots of unity |
| title | Fusion rules and R-matrices for representations of SL(2)$_{q}$ at roots of unity |
| title_full | Fusion rules and R-matrices for representations of SL(2)$_{q}$ at roots of unity |
| title_fullStr | Fusion rules and R-matrices for representations of SL(2)$_{q}$ at roots of unity |
| title_full_unstemmed | Fusion rules and R-matrices for representations of SL(2)$_{q}$ at roots of unity |
| title_short | Fusion rules and R-matrices for representations of SL(2)$_{q}$ at roots of unity |
| title_sort | fusion rules and r-matrices for representations of sl(2)$_{q}$ at roots of unity |
| topic | Mathematical Physics and Mathematics Particle Physics - Theory |
| url | http://cds.cern.ch/record/234334 |
| work_keys_str_mv | AT arnaudondaniel fusionrulesandrmatricesforrepresentationsofsl2qatrootsofunity |