Solutions of the Quantum-Yang-Baxter-Equation from Symmetric Spaces

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dc.creatorBordemann, M.
dc.creatorWalter, M.
dc.date2001-07-03
dc.date.accessioned2026-07-07T04:42:27Z
dc.date.available2026-07-07T04:42:27Z
dc.descriptionWe show that for each semi-Riemannian locally symmetric space the curvature tensor gives rise to a rational solution $r$ of the classical Yang-Baxter equation with spectral parameter. For several Riemannian globally symmetric spaces $M$ such as real, complex and quaternionic Grassmann manifolds we explicitly compute solutions $R$ of the quantum Yang Baxter equations (represented in the tangent spaces of $M$) which generalize the quantum $R$-matrix found by Zamolodchikov and Zamolodchikov in 1979.
dc.description10 pages, amsfonts,amssymb,amsmath,latexsym
dc.identifierhttps://arxiv.org/abs/math/0107018
dc.identifierhttp://arxiv.org/abs/math/0107018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61786
dc.subjectQuantum Algebra
dc.titleSolutions of the Quantum-Yang-Baxter-Equation from Symmetric Spaces
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