Description
In this talk I will revisit the spin-Ruijsenaars–Macdonald system, given by a matrix-valued generalisation of Macdonald operators that arises in the context of induced modules of double affine Hecke algebra and fits in a quantum-affine version of Schur–Weyl duality. After reviewing the construction of this system, I will outline recent developments, including elliptic generalisations and applications to quantum spin chains with long-range interactions.
Author
Jules Lamers
(University of Glasgow)