N. Crampé

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20182024

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math.QA2020

New realizations of algebras of the Askey-Wilson type in terms of Lie and quantum algebras

Nicolas Crampe, Dounia Shaaban Kabakibo, Luc Vinet

The Askey-Wilson algebra is realized in terms of the elements of the quantum algebras $U_{q} (su (2))$ or $U_{q} (su (1, 1))$ . A new realization of the Racah algebra i…

math.QA2019

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_{q} (s l (2))$

Nicolas Crampe, Julien Gaboriaud, Luc Vinet +1

A description of the embedding of the universal Askey--Wilson algebra, AW(3), in $U_{q} (s l_{2})^{\otimes 3}$ is given in terms of the universal R-matrix of $U_{q} (s l_{2})$ . The generators…

New realizations of algebras of the Askey-Wilson type in terms of Lie and quantum algebras

Revisiting the Askey--Wilson algebra with the universal R-matrix of Uq​(sl(2))

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_{q} (s l (2))$