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Julien Gaboriaud
Julien Gaboriaud
Verified email at st.kyoto-u.ac.jp
Title
Cited by
Cited by
Year
The generalized Racah algebra as a commutant
J Gaboriaud, L Vinet, S Vinet, A Zhedanov
arXiv preprint arXiv:1808.09518, 2018
282018
The Askey–Wilson algebra and its avatars
N Crampé, L Frappat, J Gaboriaud, L Poulain d’Andecy, E Ragoucy, ...
Journal of Physics A: Mathematical and Theoretical 54 (6), 063001, 2021
172021
The Higgs and Hahn algebras from a Howe duality perspective
L Frappat, J Gaboriaud, L Vinet, S Vinet, A Zhedanov
Physics Letters A 383 (14), 1531-1535, 2019
162019
Racah algebras, the centralizer and its Hilbert–Poincaré series
N Crampe, J Gaboriaud, L Poulain d'Andecy, L Vinet
arXiv preprint arXiv:2105.01086, 2021
15*2021
Revisiting the Askey–Wilson algebra with the universal -matrix of
N Crampé, J Gaboriaud, L Vinet, M Zaimi
Journal of Physics A: Mathematical and Theoretical 53 (5), 05LT01, 2020
142020
The Racah algebra as a commutant and Howe duality
J Gaboriaud, L Vinet, S Vinet, A Zhedanov
Journal of Physics A: Mathematical and Theoretical 51 (50), 50LT01, 2018
142018
Degenerate Sklyanin algebras, Askey–Wilson polynomials and Heun operators
J Gaboriaud, S Tsujimoto, L Vinet, A Zhedanov
Journal of Physics A: Mathematical and Theoretical 53 (44), 445204, 2020
92020
The -Higgs and Askey–Wilson algebras
L Frappat, J Gaboriaud, E Ragoucy, L Vinet
Nuclear Physics B 944, 114632, 2019
92019
The dual pair , the Dirac equation and the Bannai–Ito algebra
J Gaboriaud, L Vinet, S Vinet, A Zhedanov
Nuclear Physics B 937, 226-239, 2018
72018
A superintegrable discrete oscillator and two-variable Meixner polynomials
J Gaboriaud, VX Genest, J Lemieux, L Vinet
Journal of Physics A: Mathematical and Theoretical 48 (41), 415202, 2015
72015
Sklyanin-like algebras for (-)linear grids and (-)para-Krawtchouk polynomials
G Bergeron, J Gaboriaud, L Vinet, A Zhedanov
Journal of Mathematical Physics 62 (1), 2021
62021
The dual pair , -oscillators, and Askey-Wilson algebras
L Frappat, J Gaboriaud, E Ragoucy, L Vinet
Journal of Mathematical Physics 61 (4), 2020
62020
The rational Sklyanin algebra and the Wilson and para-Racah polynomials
G Bergeron, J Gaboriaud, L Vinet, A Zhedanov
Journal of Mathematical Physics 63 (6), 2022
42022
Bispectrality and biorthogonality of the rational functions of -Hahn type
I Bussière, J Gaboriaud, L Vinet, A Zhedanov
Journal of Mathematical Analysis and Applications 516 (1), 126443, 2022
32022
Howe duality and algebras of the Askey–Wilson type: an overview
J Gaboriaud, L Vinet, S Vinet
Quantum Theory and Symmetries, 2021
32021
Superintegrability and the dual Hahn algebra in superconformal quantum mechanics
PA Bernard, J Gaboriaud, L Vinet
Annals of Physics 418, 168171, 2020
22020
An algebraic interpretation of the -Meixner polynomials
J Gaboriaud, L Vinet
The Ramanujan Journal 46 (1), 127-149, 2018
22018
-Griffiths polynomials: Bispectrality and biorthogonality
N Crampe, L Frappat, J Gaboriaud, E Ragoucy, L Vinet, M Zaimi
arXiv preprint arXiv:2311.03256, 2023
12023
Griffiths polynomials of Racah type
N Crampe, L Frappat, J Gaboriaud, E Ragoucy, L Vinet, M Zaimi
arXiv preprint arXiv:2403.12148, 2024
2024
Matrix elements of in representations as bispectral multivariate functions
N Crampé, J Gaboriaud, L Poulain d’Andecy, L Vinet
Journal of Mathematical Physics 64 (11), 2023
2023
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