Duncan Laurie

activity

20232025

collaborators

4 papers

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.RT2024

Young wall models for the level 1 highest weight and Fock space crystals of $U_{q} (E_{6}^{(2)})$ and $U_{q} (F_{4}^{(1)})$

Shaolong Han, Yuanfeng Jin, Seok-Jin Kang +1

In this paper we construct Young wall models for the level $1$ highest weight and Fock space crystals of quantum affine algebras in types $E_{6}^{(2)}$ and $F_{4}^{(1)}$ . Our starting…

math.RT2023

Young wall realizations of level 1 irreducible highest weight and Fock space crystals of quantum affine algebras in type E

Duncan Laurie

We construct Young wall models for the crystal bases of level $1$ irreducible highest weight representations and Fock space representations of quantum affine algebras in types $E_{…

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

Young wall models for the level 1 highest weight and Fock space crystals of Uq​(E6(2)​) and Uq​(F4(1)​)

Young wall realizations of level 1 irreducible highest weight and Fock space crystals of quantum affine algebras in type E

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

Young wall models for the level 1 highest weight and Fock space crystals of $U_{q} (E_{6}^{(2)})$ and $U_{q} (F_{4}^{(1)})$