### 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 |
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Pages (from-to) | 184-195 |

Number of pages | 12 |

Journal | Progress of Theoretical Physics Supplement |

Issue number | 171 |

DOIs | |

Publication status | Published - 2007 Jan 1 |

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

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## 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