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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.
After the seminar we will take the speaker to lunch. See the Algebra Seminar web page for information about other seminars in the series. Anthony Henderson anthonyh@maths.usyd.edu.au. |