Glueing operation for r-matrices, quantum groups and link-invariants of Hecke type

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dc.creatorMajid, Shahn
dc.creatorMarkl, Martin
dc.date1993-08-16
dc.date.accessioned2026-07-07T09:14:06Z
dc.date.available2026-07-07T09:14:06Z
dc.descriptionWe introduce an associative glueing operation $\oplus_q$ on the space of solutions of the Quantum Yang-Baxter Equations of Hecke type. The corresponding glueing operations for the associated quantum groups and quantum vector spaces are also found. The former involves $2\times 2$ quantum matrices whose entries are themselves square or rectangular quantum matrices. The corresponding glueing operation for link-invariants is introduced and involves a state-sum model with Boltzmann weights determined by the link invariants to be glued. The standard $su(n)$ solution, its associated quantum matrix group, quantum space and link-invariant arise at once by repeated glueing of the one-dimensional case.
dc.description36 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9308072
dc.identifierhttp://arxiv.org/abs/hep-th/9308072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152556
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleGlueing operation for r-matrices, quantum groups and link-invariants of Hecke type
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