209 citations · 1.2k across the 77 of their papers we have counts for
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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…
Centralizers of the superalgebra osp(1|2): the Brauer algebra as a quotient of the Bannai-Ito algebra
Nicolas Crampe, Luc Frappat, Luc Vinet
We provide an explicit isomorphism between a quotient of the Bannai--Ito algebra and the Brauer algebra. We clarify also the connection with the action of the Lie superalgebra osp(…
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…