The Pfaff lattice and skew-orthogonal polynomials

M. Adler, E. Horozov, P. van Moerbeke

Consider a semi-infinite skew-symmetric moment matrix, $m_{\iy}$ evolving according to the vector fields $\pl m / \pl t_k=\Lb^k m+m \Lb^{\top k} ,$ where $\Lb$ is the shift matrix.…