15 citations · 97 across the 32 of their papers we have counts for
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Polynomials of the Askey Scheme as Clebsch-Gordan Coefficients
Nicolas Crampé, Loïc Poulain d'Andecy, Luc Vinet
Given a semi-simple algebra equipped with a coproduct, the Clebsch-Gordan coefficients are the elements of the transition matrices between direct product representation and its irr…
The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms
Nicolas Crampé, Luc Frappat, Loïc Poulain d'Andecy +1
We propose a definition by generators and relations of the rank Askey-Wilson algebra for any integer , generalising the known presentation for the usual…
Induced representations and traces for chains of affine and cyclotomic Hecke algebras
O. V. Ogievetsky, L. Poulain d'Andecy
Properties of relative traces and symmetrizing forms on chains of cyclotomic and affine Hecke algebras are studied. The study relies on a use of bases of these algebras which gener…
Alternating subalgebras of Hecke algebras and alternating subgroups of braid groups
O. V. Ogievetsky, L. Poulain d'Andecy
For a Coxeter system (G,S) the multi-parametric alternating subalgebra H^+(G) of the Hecke algebra and the alternating subgroup B^+(G) of the braid group are defined. Two presentat…