Combinatorial Formulae for Nested Bethe Vectors
We give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for tensor products of irreducible evaluation modules over the Yangian Y(glN) and the quantum affine algebra Uq(glN˜).
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2013 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149340 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Combinatorial Formulae for Nested Bethe Vectors / V. Tarasov, A. Varchenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 22 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862680174601961472 |
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| author | Tarasov, V. Varchenko, A. |
| author_facet | Tarasov, V. Varchenko, A. |
| citation_txt | Combinatorial Formulae for Nested Bethe Vectors / V. Tarasov, A. Varchenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for tensor products of irreducible evaluation modules over the Yangian Y(glN) and the quantum affine algebra Uq(glN˜).
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| first_indexed | 2025-12-07T15:45:49Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149340 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:45:49Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Tarasov, V. Varchenko, A. 2019-02-21T07:03:09Z 2019-02-21T07:03:09Z 2013 Combinatorial Formulae for Nested Bethe Vectors / V. Tarasov, A. Varchenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 22 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 82B23; 17B80; 17B37; 81R50 DOI: http://dx.doi.org/10.3842/SIGMA.2013.048 https://nasplib.isofts.kiev.ua/handle/123456789/149340 We give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for tensor products of irreducible evaluation modules over the Yangian Y(glN) and the quantum affine algebra Uq(glN˜). This paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html.
 The authors thank the Max-Planck-Institut f¨ur Mathematik in Bonn for hospitality. V. Tarasov
 was supported in part by NSF grant DMS–0901616. A. Varchenko was supported in part by
 NSF grants DMS–1101508. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Combinatorial Formulae for Nested Bethe Vectors Article published earlier |
| spellingShingle | Combinatorial Formulae for Nested Bethe Vectors Tarasov, V. Varchenko, A. |
| title | Combinatorial Formulae for Nested Bethe Vectors |
| title_full | Combinatorial Formulae for Nested Bethe Vectors |
| title_fullStr | Combinatorial Formulae for Nested Bethe Vectors |
| title_full_unstemmed | Combinatorial Formulae for Nested Bethe Vectors |
| title_short | Combinatorial Formulae for Nested Bethe Vectors |
| title_sort | combinatorial formulae for nested bethe vectors |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149340 |
| work_keys_str_mv | AT tarasovv combinatorialformulaefornestedbethevectors AT varchenkoa combinatorialformulaefornestedbethevectors |