Quantum-double for a nonstandard deformation of a Borel subalgebra sl(2,C)

1993/03/05 by Č. Burdík, Burdik, C., Petr Hellinger +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.hep-th/9303035

openalex publication_date 1993/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a construction of Drienfeld's quantum double for a nonstandard deformation of Borel subalgebra of sl(2). We construct explicitly some simple representations of this quantum algebra and from the universal R-matrix we obtain the explicit solutions of the Yang-Baxter equation in those cases.

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