Embedding Euclidean Lie algebras into quantum structures

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Abstract

We show that it is possible to express the basis elements of the Lie algebra of the Euclidean group, E(2), as simple irrational functions of certain q deformed expressions involving the generators of the quantum algebra Uq(so(2, 1)). We consider implications of these results for the representation theory of the Lie algebra of E(2). We briefly discuss analogous results for Uq(so(2, 2)).

Original languageEnglish (US)
Pages (from-to)1251-1258
Number of pages8
JournalCzechoslovak Journal of Physics
Volume47
Issue number12
DOIs
StatePublished - Dec 1997

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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