Duncan Laurie

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20232025

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math.QA2025

Tensor products, $q$ -characters and $R$ -matrices for quantum toroidal algebras

Duncan Laurie

We introduce a new topological coproduct $Δ_{u}^{ψ}$ for quantum toroidal algebras $U_{q} (g_{tor})$ in all untwisted types, leading to a well-defined tensor produ…

math.QA2023

Automorphisms of quantum toroidal algebras from an action of the extended double affine braid group

Duncan Laurie

We first construct an action of the extended double affine braid group $B ¨$ on the quantum toroidal algebra $U_{q} (g_{tor})$ in untwisted and tw…

Tensor products, q-characters and R-matrices for quantum toroidal algebras

Automorphisms of quantum toroidal algebras from an action of the extended double affine braid group

Tensor products, $q$ -characters and $R$ -matrices for quantum toroidal algebras