### 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 |

Publication status | Published - 2007 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Progress of Theoretical Physics Supplement*, (171), 184-195.

**Noncommutative minkowski space and transcendental calculus.** / Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira.

Research output: Contribution to journal › Article

*Progress of Theoretical Physics Supplement*, no. 171, pp. 184-195.

}

TY - JOUR

T1 - Noncommutative minkowski space and transcendental calculus

AU - Omori, Hideki

AU - Maeda, Yoshiaki

AU - Miyazaki, Naoya

AU - Yoshioka, Akira

PY - 2007

Y1 - 2007

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

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 -