Bart Vlaar

activity

20122024

most citedUniversal K-matrices for quantum Kac-Moody algebras

29 citations · 132 across the 18 of their papers we have counts for

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Showing 2022Show all

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math.RT2022

Trigonometric K-matrices for finite-dimensional representations of quantum affine algebras

Andrea Appel, Bart Vlaar

Let $g$ be a complex simple Lie algebra and $U_{q} (g^)$ the corresponding quantum affine algebra. We prove that every irreducible finite-dimensional $U_q(\…

math.QA2022

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…