Nonstandard Drinfeld-Sokolov reduction

Delduc, F. and Fehér, L. and Gallot, L. (1997) Nonstandard Drinfeld-Sokolov reduction. (Preprint)

Text DIAS-STP-97-12.pdf Download (1MB)

Abstract

Subject to some conditions, the input data for the Drinfeld-Sokolov construction of KdV type hierarchies is a quadruplet (A, Λ, d_1, d_0 ), where the d_i are Z-gradations of a loop algebra A and Λ ϵ A is a semisimple element of nonzero d_1-grade. A new sufficient condition on the quadruplet under which the construction works is proposed and examples are presented. The proposal relies on splitting the d_1-grade zero part of A into a vector space direct sum of two subalgebras. This permits one to interpret certain Gelfand-Dickey type systems associated with nonstandard splitting of the algebra of pseudo-differential operators in the Drinfeld-Sokolov framework.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	19 Jun 2018 14:07
Last Modified:	20 Dec 2022 09:05
URI:	https://dair.dias.ie/id/eprint/676

Actions (login required)

View Item

Downloads