Embedding Euclidean Lie algebras into quantum structures

P. Moylan

doi:10.1023/A:1022829700566

Embedding Euclidean Lie algebras into quantum structures

P. Moylan

Division of Engineering and Science (Abington)

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 U_q(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 U_q(so(2, 2)).

Original language	English (US)
Pages (from-to)	1251-1258
Number of pages	8
Journal	Czechoslovak Journal of Physics
Volume	47
Issue number	12
DOIs	https://doi.org/10.1023/A:1022829700566
State	Published - Dec 1997

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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title = "Embedding Euclidean Lie algebras into quantum structures",

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)).",

author = "P. Moylan",

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AB - 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)).

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JO - Czechoslovak Journal of Physics

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Embedding Euclidean Lie algebras into quantum structures

Abstract

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