Invariants of links with flat connections in their complements.II. Holonomy R-matrices related to quantized universal enveloping algebras at roots of 1

2002/02/21 by Rinat Kashaev, R. Kashaev, N. Reshetikhin +3 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.AT #math.QA

paper · pdf · doi:10.48550/arxiv.math/0202212

arxiv created 2002/02/21 · openalex publication_date 2002/02/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Holonomy R-matrices parametrized by finite-dimensional representations are constructed for quantized universal enveloping algebras of simple Lie algebras at roots of 1.

Cited by

• New R-matrices for small quantum groups
• 6j symbols for U_q(sl₂) and non-Euclidean tetrahedra

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