### Abstract

We introduce an object which in a sense extends the notion of a covering space. Such an object is required to understand the "group" generated by the exponential functions of quadratic forms in the Weyl algebra, and gives in some sense a complexification of the metaplectic group.

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

Pages (from-to) | 481-510 |

Number of pages | 30 |

Journal | Journal of Lie Theory |

Volume | 13 |

Issue number | 2 |

Publication status | Published - 2003 |

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### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*Journal of Lie Theory*,

*13*(2), 481-510.

**Strange phenomena related to ordering problems in quantizations.** / Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira.

Research output: Contribution to journal › Article

*Journal of Lie Theory*, vol. 13, no. 2, pp. 481-510.

}

TY - JOUR

T1 - Strange phenomena related to ordering problems in quantizations

AU - Omori, Hideki

AU - Maeda, Yoshiaki

AU - Miyazaki, Naoya

AU - Yoshioka, Akira

PY - 2003

Y1 - 2003

N2 - We introduce an object which in a sense extends the notion of a covering space. Such an object is required to understand the "group" generated by the exponential functions of quadratic forms in the Weyl algebra, and gives in some sense a complexification of the metaplectic group.

AB - We introduce an object which in a sense extends the notion of a covering space. Such an object is required to understand the "group" generated by the exponential functions of quadratic forms in the Weyl algebra, and gives in some sense a complexification of the metaplectic group.

UR - http://www.scopus.com/inward/record.url?scp=0042862978&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042862978&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0042862978

VL - 13

SP - 481

EP - 510

JO - Journal of Lie Theory

JF - Journal of Lie Theory

SN - 0949-5932

IS - 2

ER -