AbstractTo each maximal commuting subalgebra h of glm(C)is associated a system of differential difference equations, generalizing several known systems. Starting from a Grassmann manifold, solutions are constructed, their properties are discussed and the relation with other systems is given. Finally it is shown how to express these solutions in τ-functions
The purpose of this paper is to give a short and understandable ex-position on differential operator...
The first part of this paper develops a geometric setting for differential-difference equations that ...
Differential-difference operators are linear operators involving both d/dz and the shift z ↦ z + 1 (...
To each maximal commuting subalgebra h of glm(C) is associated a system of differential difference e...
AbstractTo each maximal commuting subalgebra h of glm(C)is associated a system of differential diffe...
Let h be a complex commutative subalgebra of the n×n matrices Mn(ℂ). In the algebra MPsd of matrix p...
In this paper we present an analytic and geometric framework for the construction of solutions of th...
Splitting the algebra Psd of pseudodifferential operators into the Lie subalgebra of all differentia...
We consider the Knizhnik-Zamolodchikov (KZ) and dynamical equations, both differential and differenc...
Differential-difference operators are linear operators involving both d/dz and the shift z ↦ z + 1 (...
The ring Diff_{h}(n) of h-deformed differential operators appears in the theory of reduction algebra...
A solution of a differential system can be interpreted as a maximal submanifold determined by the Ca...
A solution of a differential system can be interpreted as a maximal submanifold determined by the Ca...
We introduce A-hypergeometric differential-difference equation HA and prove that its holonomic rank ...
In this paper one considers a finite number of points in the complex plane and various spaces of bou...
The purpose of this paper is to give a short and understandable ex-position on differential operator...
The first part of this paper develops a geometric setting for differential-difference equations that ...
Differential-difference operators are linear operators involving both d/dz and the shift z ↦ z + 1 (...
To each maximal commuting subalgebra h of glm(C) is associated a system of differential difference e...
AbstractTo each maximal commuting subalgebra h of glm(C)is associated a system of differential diffe...
Let h be a complex commutative subalgebra of the n×n matrices Mn(ℂ). In the algebra MPsd of matrix p...
In this paper we present an analytic and geometric framework for the construction of solutions of th...
Splitting the algebra Psd of pseudodifferential operators into the Lie subalgebra of all differentia...
We consider the Knizhnik-Zamolodchikov (KZ) and dynamical equations, both differential and differenc...
Differential-difference operators are linear operators involving both d/dz and the shift z ↦ z + 1 (...
The ring Diff_{h}(n) of h-deformed differential operators appears in the theory of reduction algebra...
A solution of a differential system can be interpreted as a maximal submanifold determined by the Ca...
A solution of a differential system can be interpreted as a maximal submanifold determined by the Ca...
We introduce A-hypergeometric differential-difference equation HA and prove that its holonomic rank ...
In this paper one considers a finite number of points in the complex plane and various spaces of bou...
The purpose of this paper is to give a short and understandable ex-position on differential operator...
The first part of this paper develops a geometric setting for differential-difference equations that ...
Differential-difference operators are linear operators involving both d/dz and the shift z ↦ z + 1 (...
DOI
Add to ORKG