Trigonometric Solutions of WDVV Equations and Generalized Calogero-Moser-Sutherland Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Trigonometric Solutions of WDVV Equations and Generalized Calogero-Moser-Sutherland Systems
|
|
| Creator |
Feigin, M.V.
|
|
| Description |
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.
|
|
| Date |
2019-02-19T17:35:38Z
2019-02-19T17:35:38Z 2009 |
|
| Type |
Article
|
|
| Identifier |
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.
1815-0659 2000 Mathematics Subject Classification: 35Q40; 52C99 http://dspace.nbuv.gov.ua/handle/123456789/149132 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|