1999/09/30 by Johan van de Leur
Physics and Astronomy · Mathematics · #solv-int #adap-org #hep-th #math-ph #math.MP #nlin.SI
published as J.Nonlin.Math.Phys. 8 (2001) 288-310
arxiv created 2001/04/01 · arxiv updated 2016/09/08
We obtain the collection of symmetric and symplectic matrix integrals and the collection of Pfaffian tau-functions, recently described by Peng and Adler and van Moerbeke, as specific elements in the Spin-group orbit of the vacuum vector of a fermionic Fock space. This fermionic Fock space is the same space as one constructs to obtain the KP and 1-Toda lattice hierarchy.