Extended matrix Gelfand-Dickey hierarchies

Reduction to classical Lie algebras

László Fehér, Ian Marshall

Research output: Contribution to journalArticle

Abstract

The Drinfeld-Sokolov reduction method has been used to associate extensions of the matrix r-KdV system with the Lie algebra gln. We present reductions of these systems to the fixed point sets of involutive Poisson maps, implementing the reduction of gln to classical Lie algebras of type B, C, D. Modifications corresponding, in the first place to factorization of the Lax operator, and then to Wakimoto realizations of the current algebra components of the factorization, are also described.

Original languageEnglish
Pages (from-to)5815-5824
Number of pages10
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number16
DOIs
Publication statusPublished - Aug 21 1997

Fingerprint

Algebra
hierarchies
Factorization
Lie Algebra
algebra
Current Algebra
factorization
Fixed Point Set
R-matrix
matrices
Reduction Method
Korteweg-de Vries Equation
Siméon Denis Poisson
current algebra
Mathematical operators
Operator
operators
Hierarchy

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Extended matrix Gelfand-Dickey hierarchies : Reduction to classical Lie algebras. / Fehér, László; Marshall, Ian.

In: Journal of Physics A: Mathematical and General, Vol. 30, No. 16, 21.08.1997, p. 5815-5824.

Research output: Contribution to journalArticle

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