Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors
We decompose into irreducible factors the SU(2) Witten-Reshetikhin-Turaev representations of the mapping class group of a genus 2 surface when the level is p=4r and p=2r² with r an odd prime, and when p=2r₁r₂ with r₁, r₂ two distinct odd primes. Some partial generalizations in higher genus are also...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2019 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210064 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors / J. Korinman // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862584370556043264 |
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| author | Korinman, J. |
| author_facet | Korinman, J. |
| citation_txt | Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors / J. Korinman // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We decompose into irreducible factors the SU(2) Witten-Reshetikhin-Turaev representations of the mapping class group of a genus 2 surface when the level is p=4r and p=2r² with r an odd prime, and when p=2r₁r₂ with r₁, r₂ two distinct odd primes. Some partial generalizations in higher genus are also presented.
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| first_indexed | 2025-12-07T21:24:15Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-210064 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:24:15Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Korinman, J. 2025-12-02T09:34:57Z 2019 Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors / J. Korinman // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 14 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 57R56; 57M60 arXiv: 1406.4389 https://nasplib.isofts.kiev.ua/handle/123456789/210064 https://doi.org/10.3842/SIGMA.2019.011 We decompose into irreducible factors the SU(2) Witten-Reshetikhin-Turaev representations of the mapping class group of a genus 2 surface when the level is p=4r and p=2r² with r an odd prime, and when p=2r₁r₂ with r₁, r₂ two distinct odd primes. Some partial generalizations in higher genus are also presented. The author is thankful to L. Funar and F. Costantino for useful discussions and to the anonymous referees for valuable corrections that improved the clarity of the paper. He acknowledges support from the grant ANR 2011 BS 0102001 ModGroup, CAPES, and the GEAR Network. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors Article published earlier |
| spellingShingle | Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors Korinman, J. |
| title | Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors |
| title_full | Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors |
| title_fullStr | Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors |
| title_full_unstemmed | Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors |
| title_short | Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors |
| title_sort | decomposition of some witten-reshetikhin-turaev representations into irreducible factors |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210064 |
| work_keys_str_mv | AT korinmanj decompositionofsomewittenreshetikhinturaevrepresentationsintoirreduciblefactors |