78 citations · 90 across the 5 of their papers we have counts for
5 papers
On Abelianity Lines in Elliptic -Algebras
Jean Avan, Luc Frappat, Eric Ragoucy
We present a systematic derivation of the abelianity conditions for the -deformed -algebras constructed from the elliptic quantum algebra $\mathcal{A}_{q,p}\big(\widehat{\mat…
Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof
J. Avan, S. Belliard, N. Grosjean +1
In this paper, we prove the off-shell equation satisfied by the transfer matrix associated with the XXZ spin- chain on the segment with two generic integrable boundaries a…
Reflection matrices from Hadamard-type Temperley-Lieb R-matrices
J. Avan, P. P. Kulish, G. Rollet
We classify non-operatorial matrices K solving Skylanin's quantum reflection equation for all R-matrices obtained from the newly defined general rank- n Hadamard type representatio…
Yangian and quantum universal solutions of Gervais--Neveu--Felder equations
D. Arnaudon, J. Avan, L. Frappat +1
We construct universal Drinfel'd twists defining deformations of Hopf algebra structures based upon simple Lie algebras and contragredient simple Lie superalgebras. In particular,…
New algebras from the elliptic algebra
J. Avan, L. Frappat, M. Rossi +1
We construct operators t(z) in the elliptic algebra introduced by Foda et al. . They close an exchange algebra when p^m=q^{c+2} for m integer. In ad…