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Generalized Drinfel'd-Sokolov hierarchies

Nigel J. Burroughs, Mark F. de Groot, J.Luis Miramontes, Timothy Hollowood Orcid Logo

Communications in Mathematical Physics, Volume: "153", Issue: 1, Pages: 187 - 215

Swansea University Author: Timothy Hollowood Orcid Logo

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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...

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Published in: Communications in Mathematical Physics
ISSN: 0010-3616 1432-0916
Published: 1991
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URI: https://cronfa.swan.ac.uk/Record/cronfa28598
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last_indexed 2018-02-09T05:12:55Z
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spelling 2016-06-03T14:37:10.9204146 v2 28598 2016-06-03 Generalized Drinfel'd-Sokolov hierarchies ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 BGPS 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. Journal Article Communications in Mathematical Physics "153" 1 187 215 0010-3616 1432-0916 30 6 1991 1991-06-30 10.1007/BF02099045 http://inspirehep.net/record/317158 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University 2016-06-03T14:37:10.9204146 2016-06-03T14:37:10.7176133 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Nigel J. Burroughs 1 Mark F. de Groot 2 J.Luis Miramontes 3 Timothy Hollowood 0000-0002-3258-320X 4
title Generalized Drinfel'd-Sokolov hierarchies
spellingShingle Generalized Drinfel'd-Sokolov hierarchies
Timothy Hollowood
title_short Generalized Drinfel'd-Sokolov hierarchies
title_full Generalized Drinfel'd-Sokolov hierarchies
title_fullStr Generalized Drinfel'd-Sokolov hierarchies
title_full_unstemmed Generalized Drinfel'd-Sokolov hierarchies
title_sort Generalized Drinfel'd-Sokolov hierarchies
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Nigel J. Burroughs
Mark F. de Groot
J.Luis Miramontes
Timothy Hollowood
format Journal article
container_title Communications in Mathematical Physics
container_volume "153"
container_issue 1
container_start_page 187
publishDate 1991
institution Swansea University
issn 0010-3616
1432-0916
doi_str_mv 10.1007/BF02099045
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://inspirehep.net/record/317158
document_store_str 0
active_str 0
description 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.
published_date 1991-06-30T03:54:04Z
_version_ 1851726123523637248
score 11.08976

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