We show an algebra morphism between Yangians and some finite W-algebras. This correspondence is nicely illustrated in the framework of the Non Linear Schrodinger hierarchy. For such a purpose, we give an explicit realization of the Yangian generators in terms of deformed oscillators
Let $\mathfrak{g}$ be a finite-dimensional simple Lie algebra over $\mathbb{C}$, and let $Y_{\hbar}(...
8 pages, latex, 1 figure, to appear in the Proceeding of 6-th Nankai WorkshopInternational audienceT...
This paper surveys a new actively developing direction in contemporary mathematics which connects qu...
For a large class of finite W algebras, the defining relations of a Yangian are proved to be satisfi...
We study the Yangian symmetry of the multicomponent Quantum Nonlinear Schrödinger hierarchy in the ...
AbstractWe give a quantum analog of Sylvester's theorem where numerical matrices are replaced with n...
We discuss the representation theory of the non-linear chiral algebra W1+infinity, of Gaberdiel and ...
A new action of the Yangians in the WZW models is displayed. Its structure is generic and level inde...
We consider a version of the nonlinear Schrodinger equation with M bosons and N fermions. We first s...
The Yangian Yg and quantum loop algebra Uq(Lg) of a complex semisimple Lie algebra g share very many...
The Yangian Yg and quantum loop algebra Uq(Lg) of a complex semisimple Lie algebra g share very many...
We study the quantum finite W -algebras W (glN, f ), associ-ted to the Lie algebra glN, and its arbit...
AbstractWe give a quantum analog of Sylvester's theorem where numerical matrices are replaced with n...
A major contribution to the theory of quantum finite W-algebras in type A comes from the work of J. ...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
Let $\mathfrak{g}$ be a finite-dimensional simple Lie algebra over $\mathbb{C}$, and let $Y_{\hbar}(...
8 pages, latex, 1 figure, to appear in the Proceeding of 6-th Nankai WorkshopInternational audienceT...
This paper surveys a new actively developing direction in contemporary mathematics which connects qu...
For a large class of finite W algebras, the defining relations of a Yangian are proved to be satisfi...
We study the Yangian symmetry of the multicomponent Quantum Nonlinear Schrödinger hierarchy in the ...
AbstractWe give a quantum analog of Sylvester's theorem where numerical matrices are replaced with n...
We discuss the representation theory of the non-linear chiral algebra W1+infinity, of Gaberdiel and ...
A new action of the Yangians in the WZW models is displayed. Its structure is generic and level inde...
We consider a version of the nonlinear Schrodinger equation with M bosons and N fermions. We first s...
The Yangian Yg and quantum loop algebra Uq(Lg) of a complex semisimple Lie algebra g share very many...
The Yangian Yg and quantum loop algebra Uq(Lg) of a complex semisimple Lie algebra g share very many...
We study the quantum finite W -algebras W (glN, f ), associ-ted to the Lie algebra glN, and its arbit...
AbstractWe give a quantum analog of Sylvester's theorem where numerical matrices are replaced with n...
A major contribution to the theory of quantum finite W-algebras in type A comes from the work of J. ...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
Let $\mathfrak{g}$ be a finite-dimensional simple Lie algebra over $\mathbb{C}$, and let $Y_{\hbar}(...
8 pages, latex, 1 figure, to appear in the Proceeding of 6-th Nankai WorkshopInternational audienceT...
This paper surveys a new actively developing direction in contemporary mathematics which connects qu...
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