On simple semiabelian p-adic lie algebras |
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| Authors: | Peter Müller |
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| Institution: | Math.Institut , Universit?t Erlangen-Nürnberg , Bismarckstr.1 1/2, Erlangen, W-8520, F.R.G |
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| Abstract: | A quantization of a non-standard rational solution of CYBE for sl 2 is given explicitly. We obtain the quantization with the help of a twisting of the usual Yangian Y{sl 2). This quantum object (deformed Yangian Y ηξ( sl 2)) is a two-parametric deformation of the universal enveloping algebra U(sl 2u]) of the polynomial current algebra sl 2u]. We consider the pseudotriangular structure on Y ηξ( sl 2), the quantum double DY ηξ(sl 2), its the universal R-matrix and also the RTT-realization of Y ηξ( sl 2). |
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