Separation of variables for symplectic characters

Details Separation of variables for symplectic characters Separation of variables for symplectic characters

2010-09-15

arxiv.org/abs/1009.2831v1

Lett.Math.Phys.97:61-83,2011

Physics

Mathematical Physics

21 pages

Scientific paper

10.1007/s11005-011-0467-z

We perform separation of variables for the symplectic Weyl character using
Sklyanin's scheme. Viewing the characters as eigenfunctions of a quantum
integrable system, we explicitly construct the separating operator using the
Q-operator method. We also construct the inverse of the separating operator, as
well as the factorised Hamiltonian.

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