Analogs of q-Serre relations in the Yang-Baxter algebras |
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Authors: | M. Lüdde A. A. Vladimirov |
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Affiliation: | (1) SAP AG, Basis 02, Postfach 1461, D-69185 Walldorf/Baden, Germany.;(2) BLTP, JINR, Dubna, Moscow region, 141980, Russia. |
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Abstract: | Yang-Baxter bialgebras, as previously introduced by the authors, are shown to arise from a double crossproduct construction applied to the bialgebra R12T1T2 = T2T1R12, E1T2 = T2E1R12, (T)=TT, (E)=ET + 1E and its skew dual, with R being a numerical matrix solution of the Yang-Baxter equation. It is further shown that a set of relations generalizing q-Serre ones in the Drinfeld-Jimbo algebras Uq(g) can be naturally imposed on Yang-Baxter algebras from the requirement of non-degeneracy of the pairing. |
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