Topics in hidden symmetries. III

Details Topics in hidden symmetries. III Topics in hidden symmetries. III

1996-11-04

arxiv.org/abs/q-alg/9611003v1

Physics

High Energy Physics

High Energy Physics - Theory

7p AMSTEX, part I - hep-th/9405050, part II - q-alg/9610026

Scientific paper

This short paper being devoted to some aspects of the inverse problem of the representation theory treats several themes, which have their origins in the researches of F.A.Berezin, D.P.Zhelobenko, V.P.Maslov and his group, in context of the author's approach to the setting free of hidden symmetries, which is based on the noncommutative geometry. Relations of the discussed topics to the general ideologies of the translator algebras in representation theory and of the dynamical symmetries or the spectrum--generating algebras in mathematical physics are pointed out. A possibility of quantum field generalizations of the constructions in terms of vertex (QFT--operator) and Zamolodchikov algebras is mentioned.

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