Strange phenomena related to ordering problems in quantizations

Hideki Omori; Yoshiaki Maeda; Naoya Miyazaki; Akira Yoshioka

Strange phenomena related to ordering problems in quantizations

Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka

Faculty of Economics

Research output: Contribution to journal › Article › peer-review

16 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 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

ASJC Scopus subject areas

Algebra and Number Theory

Cite this

@article{ca64d7b559354b0db1765b42cc0ea0fc,

title = "Strange phenomena related to ordering problems in quantizations",

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.",

author = "Hideki Omori and Yoshiaki Maeda and Naoya Miyazaki and Akira Yoshioka",

year = "2003",

language = "English",

volume = "13",

pages = "481--510",

journal = "Journal of Lie Theory",

issn = "0949-5932",

publisher = "Heldermann Verlag",

number = "2",

}

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

SN - 0949-5932

VL - 13

SP - 481

EP - 510

JO - Journal of Lie Theory

JF - Journal of Lie Theory

IS - 2

ER -

Strange phenomena related to ordering problems in quantizations

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this