The generators of the algebra gln+1 in the form of differential operators of the first order acting on Rn with matrix coefficients are explicitly written. The algebraic Hamiltonians for matrix generalization of 3−body Calogero and Sutherland models are presented
We show that the following two algebras are isomorphic. The first is the algebra AP of functions on ...
In this paper we derive structure theorems which characterize the spaces of linear and non-linear di...
We show that the following two algebras are isomorphic. The first is the algebra AP of functions on ...
The generators of the algebra gln+1 in the form of differential operators of the first order acting ...
We suggest a generalization of the Lie algebraic approach for constructing quasi-exactly solvable on...
An efficient procedure for constructing quasi-exactly solvable matrix models is suggested. It is ba...
Matrix quasi exactly solvable operators are considered and new conditions are determined to test whe...
We study the Gaudin models associated with $\mathfrak{gl}(1|1)$. We give an explicit description of ...
The algebraic structures underlying quasi-exact solvability for spin 1/2 Hamiltonians in one dimensi...
We study the quantum finite W -algebras W (glN, f ), associ-ted to the Lie algebra glN, and its arbit...
We propose a more direct approach to constructing differential operators that preserve polynomial su...
In this paper, we study Lie superalgebras of 2 x 2 matrix-valued first-order differential operators ...
Translationally invariant symmetric polynomials as coordinates for n-body problems with identical pa...
We construct six multi-parameter families of Hermitian quasi-exactly solvable matrix Schrodinger ope...
We show that the following two algebras are isomorphic. The first is the algebra AP of functions on ...
We show that the following two algebras are isomorphic. The first is the algebra AP of functions on ...
In this paper we derive structure theorems which characterize the spaces of linear and non-linear di...
We show that the following two algebras are isomorphic. The first is the algebra AP of functions on ...
The generators of the algebra gln+1 in the form of differential operators of the first order acting ...
We suggest a generalization of the Lie algebraic approach for constructing quasi-exactly solvable on...
An efficient procedure for constructing quasi-exactly solvable matrix models is suggested. It is ba...
Matrix quasi exactly solvable operators are considered and new conditions are determined to test whe...
We study the Gaudin models associated with $\mathfrak{gl}(1|1)$. We give an explicit description of ...
The algebraic structures underlying quasi-exact solvability for spin 1/2 Hamiltonians in one dimensi...
We study the quantum finite W -algebras W (glN, f ), associ-ted to the Lie algebra glN, and its arbit...
We propose a more direct approach to constructing differential operators that preserve polynomial su...
In this paper, we study Lie superalgebras of 2 x 2 matrix-valued first-order differential operators ...
Translationally invariant symmetric polynomials as coordinates for n-body problems with identical pa...
We construct six multi-parameter families of Hermitian quasi-exactly solvable matrix Schrodinger ope...
We show that the following two algebras are isomorphic. The first is the algebra AP of functions on ...
We show that the following two algebras are isomorphic. The first is the algebra AP of functions on ...
In this paper we derive structure theorems which characterize the spaces of linear and non-linear di...
We show that the following two algebras are isomorphic. The first is the algebra AP of functions on ...
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