Remarks on the star product of functions on finite and compact groups - Mathematical PhysicsReport as inadecuate




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Abstract: Using the formalism of quantizers and dequantizers, we show that thecharacters of irreducible unitary representations of finite and compact groupsprovide kernels for star products of complex-valued functions of the groupelements. Examples of permutation groups of two and three elements, as well asthe SU2 group, are considered. The k-deformed star products of functions onfinite and compact groups are presented. The explicit form of the quantizersand dequantizers, and the duality symmetry of the considered star products arediscussed.



Author: P. Aniello, A. Ibort, V. Man'ko, G. Marmo

Source: https://arxiv.org/



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