Strange phenomena related to ordering problems in quantizations

Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka

Research output: Contribution to journalArticle

14 Citations (Scopus)

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 languageEnglish
Pages (from-to)481-510
Number of pages30
JournalJournal of Lie Theory
Volume13
Issue number2
Publication statusPublished - 2003

Fingerprint

Quantization
Covering Space
Complexification
Weyl Algebra
Quadratic form
Object

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

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

In: Journal of Lie Theory, Vol. 13, No. 2, 2003, p. 481-510.

Research output: Contribution to journalArticle

Omori, H, Maeda, Y, Miyazaki, N & Yoshioka, A 2003, 'Strange phenomena related to ordering problems in quantizations', Journal of Lie Theory, vol. 13, no. 2, pp. 481-510.
Omori, Hideki ; Maeda, Yoshiaki ; Miyazaki, Naoya ; Yoshioka, Akira. / Strange phenomena related to ordering problems in quantizations. In: Journal of Lie Theory. 2003 ; Vol. 13, No. 2. pp. 481-510.
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