dorsal/arxiv
View SchemaTopics in hidden symmetries. III
| Authors | Denis V. Juriev |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9611003 |
| URL | https://arxiv.org/abs/q-alg/9611003 |
Abstract
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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"abstract": "This short paper being devoted to some aspects of the inverse problem of the\nrepresentation theory treats several themes, which have their origins in the\nresearches of F.A.Berezin, D.P.Zhelobenko, V.P.Maslov and his group, in context\nof the author\u0027s approach to the setting free of hidden symmetries, which is\nbased on the noncommutative geometry. Relations of the discussed topics to the\ngeneral ideologies of the translator algebras in representation theory and of\nthe dynamical symmetries or the spectrum--generating algebras in mathematical\nphysics are pointed out. A possibility of quantum field generalizations of the\nconstructions in terms of vertex (QFT--operator) and Zamolodchikov algebras is\nmentioned.",
"arxiv_id": "q-alg/9611003",
"authors": [
"Denis V. Juriev"
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"q-alg",
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"title": "Topics in hidden symmetries. III",
"url": "https://arxiv.org/abs/q-alg/9611003"
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