A universal R-matrix for the quantization of the Lie superalgebra D(2,1,x) and an associated link invariant

2001/04/10 by Henrik Thys, Thys, Henrik
Chemistry · Mathematics · #16W35 #17B25 #17B37 #57M27 #81R50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Molecular spectroscopy and chirality #Quantum Algebra (math.QA) #math.QA #msc:16W35 #msc:17B25 #msc:17B37 #msc:57M27 #msc:81R50

paper · pdf · doi:10.48550/arxiv.math/0104110

23 pages

openalex publication_date 2001/04/10 · arxiv created 2001/04/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the quantum double method, we construct a universal R-matrix for the quantization of the Lie superalgebra D(2,1,x). We use this result to construct a link invariant and show it coincides with a specialization of Kauffman's Dubrovnik polynomial.

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