22 citations · 99 across the 11 of their papers we have counts for
5 papers · 1 filter
Algebraic structure of classical integrability for complex sine-Gordon
J. Avan, L. Frappat, E. Ragoucy
The algebraic structure underlying the classical -matrix formulation of the complex sine-Gordon model is fully elucidated. It is characterized by two matrices and , compo…
The dual pair , -oscillators and Askey-Wilson algebras
Luc Frappat, Julien Gaboriaud, Eric Ragoucy +1
The universal Askey-Wilson algebra can be obtained as the commutant of in . We analyze the commutant of $\math…
Truncation of the reflection algebra and the Hahn algebra
Nicolas Crampe, Eric Ragoucy, Luc Vinet +1
In the context of connections between algebras coming from quantum integrable systems and algebras associated to the orthogonal polynomials of the Askey scheme, we prove that the t…
The -Higgs and Askey-Wilson algebras
Luc Frappat, Julien Gaboriaud, Eric Ragoucy +1
A -analogue of the Higgs algebra, which describes the symmetry properties of the harmonic oscillator on the -sphere, is obtained as the commutant of the $\mathfrak{o}_{q^{1/2…
Two-species hardcore reversible cellular automaton: matrix ansatz for dynamics and nonequilibrium stationary state
Marko Medenjak, Vladislav Popkov, Tomaž Prosen +2
In this paper we study the statistical properties of a reversible cellular automaton in two out-of-equilibrium settings. In the first part we consider two instances of the initial…