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Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces
We determine the explicit quantum ordering for a special class of quantum geodesic functions corresponding to geodesics joining exactly two orbifold points or holes on a non-compact Riemann surface. We discuss some special cases in which these quantum geodesic functions form sub– algebras of some ab...
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| Format: | Default Article |
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2013
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| Online Access: | https://hdl.handle.net/2134/17244 |
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| _version_ | 1818172982349004800 |
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| author | Leonid Chekhov Marta Mazzocco |
| author_facet | Leonid Chekhov Marta Mazzocco |
| author_sort | Leonid Chekhov (7159322) |
| collection | Figshare |
| description | We determine the explicit quantum ordering for a special class of quantum geodesic functions corresponding to geodesics joining exactly two orbifold points or holes on a non-compact Riemann surface. We discuss some special cases in which these quantum geodesic functions form sub– algebras of some abstract algebras defined by the reflection equation and we extend our results to the quantisation of matrix elements of the Fuchsian group associated to the Riemann surface in Poincar´e uniformization. In particular we explore an interesting relation between the deformed Uq(sl2) and the Zhedanov algebra AW(3). |
| format | Default Article |
| id | rr-article-9376097 |
| institution | Loughborough University |
| publishDate | 2013 |
| record_format | Figshare |
| spelling | rr-article-93760972013-01-01T00:00:00Z Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces Leonid Chekhov (7159322) Marta Mazzocco (1248258) Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified We determine the explicit quantum ordering for a special class of quantum geodesic functions corresponding to geodesics joining exactly two orbifold points or holes on a non-compact Riemann surface. We discuss some special cases in which these quantum geodesic functions form sub– algebras of some abstract algebras defined by the reflection equation and we extend our results to the quantisation of matrix elements of the Fuchsian group associated to the Riemann surface in Poincar´e uniformization. In particular we explore an interesting relation between the deformed Uq(sl2) and the Zhedanov algebra AW(3). 2013-01-01T00:00:00Z Text Journal contribution 2134/17244 https://figshare.com/articles/journal_contribution/Quantum_ordering_for_quantum_geodesic_functions_of_orbifold_Riemann_surfaces/9376097 CC BY-NC-ND 4.0 |
| spellingShingle | Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified Leonid Chekhov Marta Mazzocco Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces |
| title | Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces |
| title_full | Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces |
| title_fullStr | Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces |
| title_full_unstemmed | Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces |
| title_short | Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces |
| title_sort | quantum ordering for quantum geodesic functions of orbifold riemann surfaces |
| topic | Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified |
| url | https://hdl.handle.net/2134/17244 |