dorsal/arxiv
View SchemaExtended matrix Gelfand-Dickey hierarchies: reduction to classical Lie algebras
| Authors | Laszlo Feher, Ian Marshall |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9704002 |
| URL | https://arxiv.org/abs/solv-int/9704002 |
| DOI | 10.1088/0305-4470/30/16/022 |
Abstract
The Drinfeld-Sokolov reduction method has been used to associate with $gl_n$ extensions of the matrix r-KdV system. Reductions of these systems to the fixed point sets of involutive Poisson maps, implementing reduction of $gl_n$ to classical Lie algebras of type $B, C, D$, are here presented. Modifications corresponding, in the first place to factorisation of the Lax operator, and then to Wakimoto realisations of the current algebra components of the factorisation, are also described.
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"abstract": "The Drinfeld-Sokolov reduction method has been used to associate with $gl_n$\nextensions of the matrix r-KdV system. Reductions of these systems to the fixed\npoint sets of involutive Poisson maps, implementing reduction of $gl_n$ to\nclassical Lie algebras of type $B, C, D$, are here presented. Modifications\ncorresponding, in the first place to factorisation of the Lax operator, and\nthen to Wakimoto realisations of the current algebra components of the\nfactorisation, are also described.",
"arxiv_id": "solv-int/9704002",
"authors": [
"Laszlo Feher",
"Ian Marshall"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1088/0305-4470/30/16/022",
"title": "Extended matrix Gelfand-Dickey hierarchies: reduction to classical Lie algebras",
"url": "https://arxiv.org/abs/solv-int/9704002"
},
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