Extended matrix Gelfand-Dickey hierarchies: reduction to classical Lie algebras
solv-int
2016-09-08 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
The Drinfeld-Sokolov reduction method has been used to associate with extensions of the matrix r-KdV system. Reductions of these systems to the fixed point sets of involutive Poisson maps, implementing reduction of to classical Lie algebras of type , 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.
Keywords
Cite
@article{arxiv.solv-int/9704002,
title = {Extended matrix Gelfand-Dickey hierarchies: reduction to classical Lie algebras},
author = {Laszlo Feher and Ian Marshall},
journal= {arXiv preprint arXiv:solv-int/9704002},
year = {2016}
}
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