Abstract
A star product is an associative product for certain function space on a manifold, which is given by deforming a usual multiplication of functions. The star product we consider is given on \(\mathbb{C}^{n}\) in non-formal sense. In the star product algebra we consider exponential elements, which are called star exponentials. Using star exponentials we construct star functions, which are regarded as sections of star algebra bundle over a space of complex matrices. In this note we give a brief review on star products.
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Dedicated to the memory of Syed Twareque Ali
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Yoshioka, A. (2019). Star Exponentials in Star Product Algebra. In: Kielanowski, P., Odzijewicz, A., Previato, E. (eds) Geometric Methods in Physics XXXVI. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01156-7_17
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DOI: https://doi.org/10.1007/978-3-030-01156-7_17
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-01155-0
Online ISBN: 978-3-030-01156-7
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