Journal article 885 views
Generalized Drinfel'd-Sokolov hierarchies
Communications in Mathematical Physics, Volume: "153", Issue: 1, Pages: 187 - 215
Swansea University Author:
Timothy Hollowood
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DOI (Published version): 10.1007/BF02099045
Abstract
In this paper we examine the bi-Hamiltonian structure of the generalized KdV-hierarchies. We verify that both Hamiltonian structures take the form of Kirillov brackets on the Kac-Moody algebra, and that they define a coordinated system. Classical extended conformal algebras are obtained from the sec...
| Published in: | Communications in Mathematical Physics |
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| ISSN: | 0010-3616 1432-0916 |
| Published: |
1991
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa28598 |
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| Abstract: |
In this paper we examine the bi-Hamiltonian structure of the generalized KdV-hierarchies. We verify that both Hamiltonian structures take the form of Kirillov brackets on the Kac-Moody algebra, and that they define a coordinated system. Classical extended conformal algebras are obtained from the second Poisson bracket. In particular, we construct the $W_n~l$ algebras, first discussed for the case $n=3$ and $l=2$ by A. Polyakov and M. |
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| College: |
Faculty of Science and Engineering |
| Issue: |
1 |
| Start Page: |
187 |
| End Page: |
215 |