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An hbar-adic valuation property of universal R-matrices
Article de revue   Avec comité de lecture

An hbar-adic valuation property of universal R-matrices

Benjamin Enriquez et Gilles Halbout
Journal of algebra, Vol.261, num. 2, pp.434-447
2003

Résumé

General Mathematics Mathematics Quantum Algebra
We prove that if Image is a quasitriangular QUE algebra with universal R-matrix R, and Image is the quantized function algebra sitting inside Image, then variant Plancks over 2pilog(R) belongs to the tensor square Image. This gives another proof of the results of Gavarini and Halbout, saying that R normalizes Image and therefore induces a braiding of the formal group G* (in the sense of Weinstein and Xu, or Reshetikhin).

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