University of Sydney Algebra Seminar

Alexey Isaev (Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Russia)

Friday 21st November, 12.05-12.55pm, Carslaw 159

Algebraic approach to integrable chain models: open Hecke chains for hook type representations

We consider integrable open spin chain models formulated in terms of generators of the Hecke and Birman-Murakami-Wenzl (BMW) algebras. Commutative subalgebras of the Bethe type for the Hecke and BMW algebras will be introduced. The spectrum of a special element of the Bethe subalgebra (the Hamiltonian) in the irreducible representations of the Hecke algebra associated with the hook diagrams will be found in explicit form.