R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain
The problem of constructing the SL(N,C) invariant solutions to the Yang-Baxter equation is considered. The solutions (R-operators) for arbitrarily principal series representations of SL(N,C) are obtained in an explicit form. We construct the commutative family of the operators Qk(u) which can be ide...
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| Дата: | 2006 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146069 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain / S.É. Derkachov, A.N. Manashov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 39 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146069 |
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dspace |
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irk-123456789-1460692019-02-07T01:24:13Z R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain Derkachov, S.É. Manashov, A.N. The problem of constructing the SL(N,C) invariant solutions to the Yang-Baxter equation is considered. The solutions (R-operators) for arbitrarily principal series representations of SL(N,C) are obtained in an explicit form. We construct the commutative family of the operators Qk(u) which can be identified with the Baxter operators for the noncompact SL(N,C) spin magnet. 2006 Article R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain / S.É. Derkachov, A.N. Manashov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 39 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 82B23; 82B20 http://dspace.nbuv.gov.ua/handle/123456789/146069 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The problem of constructing the SL(N,C) invariant solutions to the Yang-Baxter equation is considered. The solutions (R-operators) for arbitrarily principal series representations of SL(N,C) are obtained in an explicit form. We construct the commutative family of the operators Qk(u) which can be identified with the Baxter operators for the noncompact SL(N,C) spin magnet. |
| format |
Article |
| author |
Derkachov, S.É. Manashov, A.N. |
| spellingShingle |
Derkachov, S.É. Manashov, A.N. R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Derkachov, S.É. Manashov, A.N. |
| author_sort |
Derkachov, S.É. |
| title |
R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain |
| title_short |
R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain |
| title_full |
R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain |
| title_fullStr |
R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain |
| title_full_unstemmed |
R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain |
| title_sort |
r-matrix and baxter q-operators for the noncompact sl(n,c) invariant spin chain |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146069 |
| citation_txt |
R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain / S.É. Derkachov, A.N. Manashov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 39 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT derkachovse rmatrixandbaxterqoperatorsforthenoncompactslncinvariantspinchain AT manashovan rmatrixandbaxterqoperatorsforthenoncompactslncinvariantspinchain |
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2023-05-20T17:23:44Z |
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2023-05-20T17:23:44Z |
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1796153197575798784 |