dorsal/arxiv
View SchemaLie bialgebra quantizations of the oscillator algebra and their universal $R$--matrices
| Authors | Angel Ballesteros, Francisco J. Herranz |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9602029 |
| URL | https://arxiv.org/abs/q-alg/9602029 |
| DOI | 10.1088/0305-4470/29/15/006 |
| Journal | J.Phys. A29 (1996) 4307-4320 |
Abstract
All coboundary Lie bialgebras and their corresponding Poisson--Lie structures are constructed for the oscillator algebra generated by $\{\aa,\ap,\am,\bb\}$. Quantum oscillator algebras are derived from these bialgebras by using the Lyakhovsky and Mudrov formalism and, for some cases, quantizations at both algebra and group levels are obtained, including their universal $R$--matrices.
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"abstract": "All coboundary Lie bialgebras and their corresponding Poisson--Lie structures\nare constructed for the oscillator algebra generated by $\\{\\aa,\\ap,\\am,\\bb\\}$.\nQuantum oscillator algebras are derived from these bialgebras by using the\nLyakhovsky and Mudrov formalism and, for some cases, quantizations at both\nalgebra and group levels are obtained, including their universal $R$--matrices.",
"arxiv_id": "q-alg/9602029",
"authors": [
"Angel Ballesteros",
"Francisco J. Herranz"
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"doi": "10.1088/0305-4470/29/15/006",
"journal_ref": "J.Phys. A29 (1996) 4307-4320",
"title": "Lie bialgebra quantizations of the oscillator algebra and their universal $R$--matrices",
"url": "https://arxiv.org/abs/q-alg/9602029"
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