66 citations · 1.3k across the 97 of their papers we have counts for
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Algebraic structures in set-theoretic Yang-Baxter & reflection equations
Anastasia Doikou
We present resent results regarding invertible, non-degenerate solutions of the set-theoretic Yang-Baxter and reflection equations. We recall the notion of braces and we present an…
Quasi-bialgebras from set-theoretic type solutions of the Yang-Baxter equation
Anastasia Doikou, Alexandros Ghionis, Bart Vlaar
We examine classes of quantum algebras emerging from involutive, non-degenerate set-theoretic solutions of the Yang-Baxter equation and their q-analogues. After providing some univ…
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…
Commuting quantum traces: the case of reflection algebras
Jean Avan, Anastasia Doikou
We formulate a systematic construction of commuting quantum traces for reflection algebras. This is achieved by introducing two sets of generalized reflection equations with associ…
Classification of reflection matrices related to (super) Yangians and application to open spin chain models
D. Arnaudon, J. Avan, N. Crampe' +3
We present a classification of diagonal, antidiagonal and mixed reflection matrices related to Yangian and super-Yangian R matrices associated to the infinite series so(m), sp(n) a…