Noncommutative Minkowski Space and Transcendental Calculus(Field theory, Lattice and Noncommutative space,NONCOMMUTATIVE GEOMETRY AND QUANTUM SPACETIME IN PHYSICS) :

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  • Noncommutative Minkowski Space and Transcendental Calculus

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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.

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