We use the representation theory of the infinite matrix group to show that (in the polynomial case) the n-vector-k-constrained KP hierarchy has a natural geometrical interpretation on Sato's infinite Grassmannian. This description generalizes the k-reduced KP or Gelfand-Dickey hierarchies
In this paper one considers a finite number of points in the complex plane and various spaces of bou...
Abstract The Kadomtsev-Petviashvili (KP) hierarchy, a collection of compatible nonlinear equations, ...
Polynomial solutions to the KP hierarchy are known to be parametrized by a cone over an infinite-dim...
In this paper we give a geometric description in terms of the Grassmann manifold of Segal and Wilson...
In this paper we give a geometric description in terms of the Grassmann manifold of Segal and Wilson...
Splitting the algebra Psd of pseudodifferential operators into the Lie subalgebra of all differentia...
An affine sl(n + 1) algebraic construction of the basic constrained KP hierarchy is presented. This ...
We present a theory of 'maximal' super-KP(SKP) hierarchy whose flows are maximally extended to inclu...
Every Grassmannian, in its Plücker embedding, is defined by quadratic polynomials. We prove a vast, ...
Every Grassmannian, in its Plücker embedding, is defined by quadratic polynomials. We prove a vast, ...
Every Grassmannian, in its Pl\ ucker embedding, is defined by quadratic polynomials. We prove a vast...
We discuss the integrable hierarchies that appear in multi--matrix models. They can be envisaged as ...
This work concerns the relation between the geometry of Lagrangian Grassmannians and the CKP integra...
AbstractThe KP hierarchy is a completely integrable system of quadratic, partial differential equati...
In this paper it is shown that, if you have two planes in the Sato Grassmannian that have an interse...
In this paper one considers a finite number of points in the complex plane and various spaces of bou...
Abstract The Kadomtsev-Petviashvili (KP) hierarchy, a collection of compatible nonlinear equations, ...
Polynomial solutions to the KP hierarchy are known to be parametrized by a cone over an infinite-dim...
In this paper we give a geometric description in terms of the Grassmann manifold of Segal and Wilson...
In this paper we give a geometric description in terms of the Grassmann manifold of Segal and Wilson...
Splitting the algebra Psd of pseudodifferential operators into the Lie subalgebra of all differentia...
An affine sl(n + 1) algebraic construction of the basic constrained KP hierarchy is presented. This ...
We present a theory of 'maximal' super-KP(SKP) hierarchy whose flows are maximally extended to inclu...
Every Grassmannian, in its Plücker embedding, is defined by quadratic polynomials. We prove a vast, ...
Every Grassmannian, in its Plücker embedding, is defined by quadratic polynomials. We prove a vast, ...
Every Grassmannian, in its Pl\ ucker embedding, is defined by quadratic polynomials. We prove a vast...
We discuss the integrable hierarchies that appear in multi--matrix models. They can be envisaged as ...
This work concerns the relation between the geometry of Lagrangian Grassmannians and the CKP integra...
AbstractThe KP hierarchy is a completely integrable system of quadratic, partial differential equati...
In this paper it is shown that, if you have two planes in the Sato Grassmannian that have an interse...
In this paper one considers a finite number of points in the complex plane and various spaces of bou...
Abstract The Kadomtsev-Petviashvili (KP) hierarchy, a collection of compatible nonlinear equations, ...
Polynomial solutions to the KP hierarchy are known to be parametrized by a cone over an infinite-dim...
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