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A note on the star-product
Balázs Imreh 3, Masami Ito 4
Dedicated to Professor Ferenc Gécseg on the occasion of his 60th birthday
Abstract
In this paper, we compare the repesenting power of the star-product and the members of two product hierarchies, namely, the ai-products, i = 0,1,ź and the nj-products, j = 1,2,ź. In particular, it is proved that the star-product is not isomorphically (homomorphically) more general than any member of this two product families.
Footnotes:
1 This work has been supported by the Hungarian National Foundation for Scientific Research, Grant T 014888, the Ministry of Culture and Education of Hungary, Grant FKFP 0704/1997, the Japanese Ministry of Education, Mombusho International Scientific Research Program, Joint Research 10044098
2 This work has been supported by the Hungarian National Foundation for Scientific Research, Grant T 014888, the Ministry of Culture and Education of Hungary, Grant FKFP 0704/1997, the Japanese Ministry of Education, Mombusho International Scientific Research Program, Joint Research 10044098
3 Institute of Informatics, József Attila University, Árpád tér 2, H-6720 Szeged, Hungary
4 Department of Mathematics, Faculty of Science, Kyoto Sangyo University, Kyoto 603, Japan