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Trigonometric Solutions of WDVV Equations and Generalized Calogero-Moser-Sutherland Systems
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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| dc.contributor.author | Feigin, M.V. | |
| dc.date.accessioned | 2019-02-19T17:35:38Z | |
| dc.date.available | 2019-02-19T17:35:38Z | |
| dc.date.issued | 2009 | |
| dc.identifier.citation | Trigonometric Solutions of WDVV Equations and Generalized Calogero-Moser-Sutherland Systems / M.V. Feigin // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 16 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 35Q40; 52C99 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149132 | |
| dc.description.abstract | We consider trigonometric solutions of WDVV equations and derive geometric conditions when a collection of vectors with multiplicities determines such a solution. We incorporate these conditions into the notion of trigonometric Veselov system (∨-system) and we determine all trigonometric ∨-systems with up to five vectors. We show that generalized Calogero-Moser-Sutherland operator admits a factorized eigenfunction if and only if it corresponds to the trigonometric ∨-system; this inverts a one-way implication observed by Veselov for the rational solutions. | uk_UA |
| dc.description.sponsorship | I am very grateful to L. Hoevenaars, A. Kirpichnikova, M. Pavlov, I. Strachan and A.P. Veselov for useful and stimulating discussions. The work was partially supported by the EPSRC grant EP/F032889/1, by European research network ENIGMA (contract MRTN-CT-2004-5652), by PMI2 Project funded by the UK Department for Innovation, Universities and Skills for the benefit of the Japanese Higher Education Sector and the UK Higher Education Sector. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Trigonometric Solutions of WDVV Equations and Generalized Calogero-Moser-Sutherland Systems | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
