Some details of proofs of theorems related to the quantum dynamical Yang-Baxter equation
This paper of tutorial nature gives some further details of proofs of some theorems related to the quantum dynamical Yang-Baxter equation. This mainly expands proofs given in Lectures on the dynamical Yang-Baxter equation by Etingof and Schiffmann, math.QA/9908064. This concerns the intertwining ope...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200020068 |
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| _version_ | 1832567187084148736 |
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| author | Tom H. Koornwinder |
| author_facet | Tom H. Koornwinder |
| author_sort | Tom H. Koornwinder |
| collection | DOAJ |
| description | This paper of tutorial nature gives some further details of proofs
of some theorems related to the quantum dynamical
Yang-Baxter equation. This mainly expands proofs given in
Lectures on the dynamical Yang-Baxter equation by Etingof and
Schiffmann, math.QA/9908064.
This concerns the intertwining operator, the fusion
matrix, the exchange matrix and the difference operators. The last
part expands proofs given in Traces of intertwiners for quantum groups and
difference equations, I by Etingof and Varchenko, math.QA/9907181. This concerns the dual Macdonald-Ruijsenaars equations. |
| format | Article |
| id | doaj-art-ad0e9818b71248ff9a2c15887a35619c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ad0e9818b71248ff9a2c15887a35619c2025-02-03T01:02:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01241279380610.1155/S0161171200020068Some details of proofs of theorems related to the quantum dynamical Yang-Baxter equationTom H. Koornwinder0Korteweg-de Vries Institute, Universiteit van Amsterdam, Plantage Muidergracht 24, Amsterdam 1018 TV, The NetherlandsThis paper of tutorial nature gives some further details of proofs of some theorems related to the quantum dynamical Yang-Baxter equation. This mainly expands proofs given in Lectures on the dynamical Yang-Baxter equation by Etingof and Schiffmann, math.QA/9908064. This concerns the intertwining operator, the fusion matrix, the exchange matrix and the difference operators. The last part expands proofs given in Traces of intertwiners for quantum groups and difference equations, I by Etingof and Varchenko, math.QA/9907181. This concerns the dual Macdonald-Ruijsenaars equations.http://dx.doi.org/10.1155/S0161171200020068Quantum dynamical Yang-Baxter equationintertwining operator fusion matrixexchange matrixweighted trace function dual Macdonald-Ruijsenaars equations. |
| spellingShingle | Tom H. Koornwinder Some details of proofs of theorems related to the quantum dynamical Yang-Baxter equation International Journal of Mathematics and Mathematical Sciences Quantum dynamical Yang-Baxter equation intertwining operator fusion matrix exchange matrix weighted trace function dual Macdonald-Ruijsenaars equations. |
| title | Some details of proofs of theorems related to the quantum dynamical
Yang-Baxter equation |
| title_full | Some details of proofs of theorems related to the quantum dynamical
Yang-Baxter equation |
| title_fullStr | Some details of proofs of theorems related to the quantum dynamical
Yang-Baxter equation |
| title_full_unstemmed | Some details of proofs of theorems related to the quantum dynamical
Yang-Baxter equation |
| title_short | Some details of proofs of theorems related to the quantum dynamical
Yang-Baxter equation |
| title_sort | some details of proofs of theorems related to the quantum dynamical yang baxter equation |
| topic | Quantum dynamical Yang-Baxter equation intertwining operator fusion matrix exchange matrix weighted trace function dual Macdonald-Ruijsenaars equations. |
| url | http://dx.doi.org/10.1155/S0161171200020068 |
| work_keys_str_mv | AT tomhkoornwinder somedetailsofproofsoftheoremsrelatedtothequantumdynamicalyangbaxterequation |