R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain

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dc.contributor.authorDerkachov, S.É.
dc.contributor.authorManashov, A.N.
dc.date.accessioned2019-02-06T17:26:34Z
dc.date.available2019-02-06T17:26:34Z
dc.date.issued2006
dc.description.abstractThe 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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. We are grateful to M.A. Semenov-Tian-Shansky for valuable discussions and attracting our attention to. This work was supported by the RFFI grant 05-01-00922 and DFG grant 436 Rus 17/9/06 (S.D.) and by the Helmholtz Association, contract number VH-NG-004 (A.M.)uk_UA
dc.identifier.citationR-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.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 82B23; 82B20
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146069
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleR-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chainuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2, випуск за цей рік