Noncommutative minkowski space and transcendental calculus

Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka

    Research output: Contribution to journalArticlepeer-review

    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 languageEnglish
    Pages (from-to)184-195
    Number of pages12
    JournalProgress of Theoretical Physics Supplement
    Issue number171
    DOIs
    Publication statusPublished - 2007

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

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