Nonstandard Drinfeld-Sokolov reduction

Details Nonstandard Drinfeld-Sokolov reduction Nonstandard Drinfeld-Sokolov reduction

1997-08-07

arxiv.org/abs/solv-int/9708002v1

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX file

Scientific paper

10.1088/0305-4470/31/25/006

Subject to some conditions, the input data for the Drinfeld-Sokolov construction of KdV type hierarchies is a quadruplet $(\A,\Lambda, d_1, d_0)$, where the $d_i$ are $\Z$-gradations of a loop algebra $\A$ and $\Lambda\in \A$ 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 a nonstandard splitting of the algebra of pseudo-differential operators in the Drinfeld-Sokolov framework.

Affiliated with

Also associated with

No associations

Rating

Nonstandard Drinfeld-Sokolov reduction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonstandard Drinfeld-Sokolov reduction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonstandard Drinfeld-Sokolov reduction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-452407