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Convergent Star Product Algebras on ‘ax+b’ |
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| Authors: | Bieliavsky Pierre Maeda Yoshiaki |
| Affiliation: | (1) Université Libre de Bruxelles, Belgium;(2) Keio University, Japan |
| Abstract: | We define nontempered (exponential growth) function spaces on the Lie group ax+b which are stable under some left-invariant (convergent) star product. The techniques used to achieved the latter come from symmetric spaces geometry and star representation theory. |
| Keywords: | invariant star products strict deformation quantization universal deformation formulas |
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