dorsal/arxiv
View SchemaMatrix integrals and the geometry of spinors
| Authors | Johan van de Leur |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9909028 |
| URL | https://arxiv.org/abs/solv-int/9909028 |
| Journal | J.Nonlin.Math.Phys. 8 (2001) 288-310 |
Abstract
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.
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"abstract": "We obtain the collection of symmetric and symplectic matrix integrals and the\ncollection of Pfaffian tau-functions, recently described by Peng and Adler and\nvan Moerbeke, as specific elements in the Spin-group orbit of the vacuum vector\nof a fermionic Fock space. This fermionic Fock space is the same space as one\nconstructs to obtain the KP and 1-Toda lattice hierarchy.",
"arxiv_id": "solv-int/9909028",
"authors": [
"Johan van de Leur"
],
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"journal_ref": "J.Nonlin.Math.Phys. 8 (2001) 288-310",
"title": "Matrix integrals and the geometry of spinors",
"url": "https://arxiv.org/abs/solv-int/9909028"
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