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 |
Publication status | Published - 2007 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
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Noncommutative minkowski space and transcendental calculus. / Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira.
In: Progress of Theoretical Physics Supplement, No. 171, 2007, p. 184-195.Research output: Contribution to journal › Article
}
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.
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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 -