### Abstract

On certain infinite-dimensional Lie groups, we define a closed 1-form in the same way as the Maslov form, which is essentially described by the complex determinant mapping defined in this Letter.

Original language | English |
---|---|

Pages (from-to) | 35-41 |

Number of pages | 7 |

Journal | Letters in Mathematical Physics |

Volume | 42 |

Issue number | 1 |

Publication status | Published - 1997 Oct 1 |

Externally published | Yes |

### Fingerprint

### Keywords

- Fourier integral operator
- Infinite-dimensional lie group
- Maslov form
- Oscillatory integral
- Quantization
- Symplectic topology

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

**A Remark on the Maslov Form on the Group Generated by Invertible Fourier Integral Operators.** / Miyazaki, Naoya.

Research output: Contribution to journal › Article

*Letters in Mathematical Physics*, vol. 42, no. 1, pp. 35-41.

}

TY - JOUR

T1 - A Remark on the Maslov Form on the Group Generated by Invertible Fourier Integral Operators

AU - Miyazaki, Naoya

PY - 1997/10/1

Y1 - 1997/10/1

N2 - On certain infinite-dimensional Lie groups, we define a closed 1-form in the same way as the Maslov form, which is essentially described by the complex determinant mapping defined in this Letter.

AB - On certain infinite-dimensional Lie groups, we define a closed 1-form in the same way as the Maslov form, which is essentially described by the complex determinant mapping defined in this Letter.

KW - Fourier integral operator

KW - Infinite-dimensional lie group

KW - Maslov form

KW - Oscillatory integral

KW - Quantization

KW - Symplectic topology

UR - http://www.scopus.com/inward/record.url?scp=1842815732&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1842815732&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:1842815732

VL - 42

SP - 35

EP - 41

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 1

ER -