66 citations · 698 across the 60 of their papers we have counts for
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Elliptic deformation of -algebras
J. Avan, L. Frappat, E. Ragoucy
We construct -deformations of quantum algebras with elliptic structure functions. Their spin generators are built from products of the Lax matrix gene…
On the semi-dynamical reflection equation: solutions and structure matrices
J. Avan, C. Zambon
Explicit solutions of the non-constant semi-dynamical reflection equation are constructed, together with suitable parametrizations of their structure matrices. Considering the semi…
Parametrization of semi-dynamical quantum reflection algebra
Jean Avan, Geneviève Rollet
We construct sets of structure matrices for the semi-dynamical reflection algebra, solving the Yang-Baxter type consistency equations extended by the action of an automorphism of t…
Sugawara and vertex operator constructions for deformed Virasoro algebras
D. Arnaudon, J. Avan, L. Frappat +2
From the defining exchange relations of the A_{q,p}(gl_{N}) elliptic quantum algebra, we construct subalgebras which can be characterized as q-deformed W_N algebras. The consistenc…
Spin chains from dynamical quadratic algebras
Zoltan Nagy, Jean Avan
We present a construction of integrable quantum spin chains where local spin-spin interactions are weighted by ``position''-dependent potential containing abelian non-local spin de…
Commuting quantum traces for quadratic algebras
Zoltan Nagy, Jean Avan, Anastasia Doikou +1
Consistent tensor products on auxiliary spaces, hereafter denoted "fusion procedures", are defined for general quadratic algebras, non-dynamical and dynamical, inspired by results…