Rubtsov, V., Silantyev, A. and Talalaev, D. (2009) Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model. Symmetry, Integrability and Geometry: Methods and Applications, 5, p. 110. (doi: 10.3842/SIGMA.2009.110)
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Publisher's URL: http://dx.doi.org/10.3842/SIGMA.2009.110
Abstract
In this paper we construct the quantum spectral curve for the quantum dynamical elliptic gl(n) Gaudin model. We realize it considering a commutative family corresponding to the Felder's elliptic quantum group E-tau,((h) over bar)(gl(n)) and taking the appropriate limit. The approach of Manin matrices here suits well to the problem of constructing the generation function of commuting elements which plays an important role in SoV and Langlands concept.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Silantyev, Mr Alexey |
| Authors: | Rubtsov, V., Silantyev, A., and Talalaev, D. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Symmetry, Integrability and Geometry: Methods and Applications |
| ISSN: | 1815-0659 |
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