24 citations · 158 across the 23 of their papers we have counts for
4 papers · 1 filter
Howe duality and algebras of the Askey-Wilson type: an overview
Julien Gaboriaud, Luc Vinet, Stéphane Vinet
The Askey-Wilson algebra and its relatives such as the Racah and Bannai-Ito algebras were initially introduced in connection with the eponym orthogonal polynomials. They have since…
Revisiting the Askey--Wilson algebra with the universal R-matrix of
Nicolas Crampe, Julien Gaboriaud, Luc Vinet +1
A description of the embedding of the universal Askey--Wilson algebra, AW(3), in is given in terms of the universal R-matrix of . The generators…
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…
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…