Noncommutative minkowski space and transcendental calculus

Hideki Omori; Yoshiaki Maeda; Naoya Miyazaki; Akira Yoshioka

doi:10.1143/PTPS.171.184

Noncommutative minkowski space and transcendental calculus

Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka

Faculty of Economics

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

Appropriate choice of ordered expressions of the Weyl algebra provides us a useful transcendental calculus [Ref. 14)]. Analysing star exponential functions of quadratic forms leads us matrix representations naturally. We develop a previous calculus in Ref. 14) to construct an ordered Lie group with an adjoint invariant Lorentz metric and various interesting matrix representations according to orderings.

Original language	English
Pages (from-to)	184-195
Number of pages	12
Journal	Progress of Theoretical Physics Supplement
Issue number	171
DOIs	https://doi.org/10.1143/PTPS.171.184
Publication status	Published - 2007 Jan 1

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Access to Document

10.1143/PTPS.171.184

Fingerprint Dive into the research topics of 'Noncommutative minkowski space and transcendental calculus'. Together they form a unique fingerprint.

Cite this

Omori, H., Maeda, Y., Miyazaki, N., & Yoshioka, A. (2007). Noncommutative minkowski space and transcendental calculus. Progress of Theoretical Physics Supplement, (171), 184-195. https://doi.org/10.1143/PTPS.171.184

@article{41c14c9ce9c34e5db139e8df4311ab0e,

title = "Noncommutative minkowski space and transcendental calculus",

abstract = "Appropriate choice of ordered expressions of the Weyl algebra provides us a useful transcendental calculus [Ref. 14)]. Analysing star exponential functions of quadratic forms leads us matrix representations naturally. We develop a previous calculus in Ref. 14) to construct an ordered Lie group with an adjoint invariant Lorentz metric and various interesting matrix representations according to orderings.",

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

year = "2007",

month = jan,

day = "1",

doi = "10.1143/PTPS.171.184",

language = "English",

pages = "184--195",

journal = "Progress of Theoretical Physics Supplement",

issn = "0375-9687",

publisher = "Yukawa Institute for Theoretical Physics",

number = "171",

}

TY - JOUR

T1 - Noncommutative minkowski space and transcendental calculus

AU - Omori, Hideki

AU - Maeda, Yoshiaki

AU - Miyazaki, Naoya

AU - Yoshioka, Akira

PY - 2007/1/1

Y1 - 2007/1/1

N2 - Appropriate choice of ordered expressions of the Weyl algebra provides us a useful transcendental calculus [Ref. 14)]. Analysing star exponential functions of quadratic forms leads us matrix representations naturally. We develop a previous calculus in Ref. 14) to construct an ordered Lie group with an adjoint invariant Lorentz metric and various interesting matrix representations according to orderings.

AB - Appropriate choice of ordered expressions of the Weyl algebra provides us a useful transcendental calculus [Ref. 14)]. Analysing star exponential functions of quadratic forms leads us matrix representations naturally. We develop a previous calculus in Ref. 14) to construct an ordered Lie group with an adjoint invariant Lorentz metric and various interesting matrix representations according to orderings.

UR - http://www.scopus.com/inward/record.url?scp=44349125768&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=44349125768&partnerID=8YFLogxK

U2 - 10.1143/PTPS.171.184

DO - 10.1143/PTPS.171.184

M3 - Article

AN - SCOPUS:44349125768

SP - 184

EP - 195

JO - Progress of Theoretical Physics Supplement

JF - Progress of Theoretical Physics Supplement

SN - 0375-9687

IS - 171

ER -