The Use of Quantum Algebras in Quantum Gravity

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dc.creatorGavrilik, A. M.
dc.date1999-11-24
dc.date.accessioned2026-07-07T10:32:00Z
dc.date.available2026-07-07T10:32:00Z
dc.descriptionAfter a brief survey of the appearance of quantum algebras in diverse contexts of quantum gravity, we demonstrate that the particular deformed algebras, which arise within the approach of J.Nelson and T.Regge to 2+1 anti-de Sitter quantum gravity (for space surface of genus g) and which are basic for generating the algebras of independent quantum observables, are in fact isomorphic to the nonstandard q-deformed analogues U'_q(so_n) (introduced in 1991) of Lie algebras of the orthogonal groups SO(n), with n linked to g as n=2g+2.
dc.description6 pages, LaTeX. Contribution to proceedings of III Int. Conference "Symmetry in Nonlinear Mathematical Physics" (Kiev, 12-18 July, 1999)
dc.identifierhttps://arxiv.org/abs/gr-qc/9911094
dc.identifierhttp://arxiv.org/abs/gr-qc/9911094
dc.identifierEconfC990712:304-309,1999
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178610
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleThe Use of Quantum Algebras in Quantum Gravity
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