69 citations · 320 across the 22 of their papers we have counts for
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The Algebra of Differential Operators on the Circle and
J. M. Figueroa-O'Farrill, E. Ramos
Radul has recently introduced a map from the Lie algebra of differential operators on the circle to . In this note we extend this map to , a recently introduced…
A geometrical interpretation of classical W-transformations
J. M. Figueroa-O'Farrill, E. Ramos, S. Stanciu
We give a simple geometrical interpretation of classical $\W$-transformations as deformations of constant energy surfaces by canonical transformations on a two-dimensional phase sp…
The Topography of $\W_\infty$-Type Algebras
J. M. Figueroa-O'Farrill, J. Mas, E. Ramos
We chart out the landscape of $\Winfty$-type algebras using $\Wkpq$---a recently discovered one-parameter deformation of $\W_{\rm KP}$. We relate all hitherto known $\Winfty$-type…
On the two-boson picture of the KP hierarchy
J. M. Figueroa-O'Farrill, J. Mas, E. Ramos
A two-boson realization of the second hamiltonian structure for the KP hierarchy has recently appeared in the literature. Furthermore, it has been claimed that this is also a reali…
A One-Parameter Family of Hamiltonian Structures for the KP Hierarchy and a Continuous Deformation of the Nonlinear $\W_{\rm KP}$ Algebra
J. M. Figueroa-O'Farrill, J. Mas, E. Ramos
The KP hierarchy is hamiltonian relative to a one-parameter family of Poisson structures obtained from a generalized Adler map in the space of formal pseudodifferential symbols wit…
Higher Dimensional Classical W-Algebras
Fernando Martinez-Moras, Eduardo Ramos
Classical -algebras in higher dimensions are constructed. This is achieved by generalizing the classical Gel'fand-Dickey brackets to the commutative limit of the ring of classic…