De Sole, A., Kac, V. G. and Valeri, D. (2016) Classical affine W-algebras for glN and associated integrable Hamiltonian hierarchies. Communications in Mathematical Physics, 348(1), pp. 265-319. (doi: 10.1007/s00220-016-2632-9)
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Abstract
We apply the new method for constructing integrable Hamiltonian hierarchies of Lax type equations developed in our previous paper to show that all W-algebras W(glN,f) carry such a hierarchy. As an application, we show that all vector constrained KP hierarchies and their matrix generalizations are obtained from these hierarchies by Dirac reduction, which provides the former with a bi-Poisson structure.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Valeri, Dr Daniele |
| Authors: | De Sole, A., Kac, V. G., and Valeri, D. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Communications in Mathematical Physics |
| Publisher: | Springer |
| ISSN: | 0010-3616 |
| ISSN (Online): | 1432-0916 |
| Published Online: | 24 May 2016 |
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