Quantum Matrix Pairs

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dc.creatorNelson, J. E.
dc.creatorPicken, R. F.
dc.date1999-11-02
dc.date2000-06-12
dc.date.accessioned2026-07-07T05:31:25Z
dc.date.available2026-07-07T05:31:25Z
dc.descriptionThe notion of quantum matrix pairs is defined. These are pairs of matrices with non-commuting entries, which have the same pattern of internal relations, q-commute with each other under matrix multiplication, and are such that products of powers of the matrices obey the same pattern of internal relations as the original pair. Such matrices appear in an approach by the authors to quantizing gravity in 2 space and 1 time dimensions with negative cosmological constant on the torus. Explicit examples and transformations which generate new pairs from a given pair are presented.
dc.description14 pages, no figures, Latex. Revised version (June 2000) to appear in Lett. Math. Phys
dc.identifierhttps://arxiv.org/abs/math/9911015
dc.identifierhttp://arxiv.org/abs/math/9911015
dc.identifierLett.Math.Phys. 52 (2000) 277-290
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79337
dc.subjectQuantum Algebra
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject81R50
dc.titleQuantum Matrix Pairs
dc.typetext

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