Planar algebras, cabling and the Drinfeld double

2016/03/24 by Sandipan De, De, Sandipan, Vijay Kodiyalam +1
Mathematics · #16S40 #16T05 #46L37 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1603.07468

openalex publication_date 2016/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We produce an explicit embedding of the planar algebra of the Drinfeld double of a finite-dimensional, semisimple and cosemisimple Hopf algebra H into the two-cabling of the planar algebra of the dual Hopf algebra H^* and characterise the image.

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