Matrix Integrals and the Geometry of Spinors

DOI

10.2991/jnmp.2001.8.2.9How to use a DOI?

Abstract

We obtain the collection of symmetric and symplectic matrix integrals and the colletion 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. In memory of F D Veldkamp

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Johan van de Leur
PY  - 2001
DA  - 2001/05/01
TI  - Matrix Integrals and the Geometry of Spinors
JO  - Journal of Nonlinear Mathematical Physics
SP  - 288
EP  - 310
VL  - 8
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.2.9
DO  - 10.2991/jnmp.2001.8.2.9
ID  - Leur2001
ER  -