19 citations · 21 across the 4 of their papers we have counts for
6 papers
-algebras and fractional powers of difference operators
Gloria Marí Beffa
In this paper we describe a Poisson pencil associated to the lattice -algebras defined in \cite{IM}, and we prove that the Poisson pencil is equal to the one defined in \cite{…
What is a lattice W-algebra?
Anton Izosimov, Gloria Marí Beffa
We employ the Poisson-Lie group of pseudo-difference operators to define lattice analogs of classical -algebras. We then show that the so-constructed algebras coincide with th…
Integrable evolutions of twisted polygons in centro-affine
Gloria Marí Beffa, Annalisa Calini
We show that discrete lattices are bi-Hamiltonian, using geometric realizations of discretizations of the Adler-Gel'fand-Dikii flows as local evolutions of arc length-paramet…
On the integrability of the shift map on twisted pentagram spirals
Gloria Marí Beffa
In this paper we prove that the shift map defined on the moduli space of twisted pentagram spirals of type possesses a non-standard Lax representation with an associated m…
On integrable generalizations of the pentagram map
Gloria Marí Beffa
In this paper we prove that the generalization to of the pentagram map defined in \cite{KS} is invariant under certain scalings for any . This property allows th…
Hamiltonian evolutions of twisted gons in $\RP^n$
Gloria Marí Beffa, Jing Ping Wang
In this paper we describe a well-chosen discrete moving frame and their associated invariants along projective polygons in $\RP^n$, and we use them to write explicit general expres…