Partitions, Vertex Operator Constructions and Multi-component KP equations

Details Partitions, Vertex Operator Constructions and Multi-component KP equations Partitions, Vertex Operator Constructions and Multi-component KP equations

1992-12-14

arxiv.org/abs/hep-th/9212087v2

Pacific J. Math. 171 (1995) 23-88

Physics

High Energy Physics

High Energy Physics - Theory

55 pages (repaired TeX problem, hopefully)

Scientific paper

For every partition of a positive integer $n$ in $k$ parts and every point of an infinite Grassmannian we obtain a solution of the $k$ component differential-difference KP hierarchy and a corresponding Baker function. A partition of $n$ also determines a vertex operator construction of the fundamental representations of the infinite matrix algebra $gl_\infty$ and hence a $\tau$ function. We use these fundamental representations to study the Gauss decomposition in the infinite matrix group $Gl_\infty$ and to express the Baker function in terms of $\tau$-functions. The reduction to loop algebras is discussed.

Affiliated with

Also associated with

No associations

Rating

Partitions, Vertex Operator Constructions and Multi-component KP equations 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 Partitions, Vertex Operator Constructions and Multi-component KP equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Partitions, Vertex Operator Constructions and Multi-component KP equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-15402