The Tannaka-Krein formalism and (re)presentations of universal quantum groups

2018/06/07 by Theo Raedschelders, Michel Van den Bergh, Raedschelders, Theo +1
Mathematics · #16S10 #16S37 #16S38 #16T05 #16T15 #20G42 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1806.02758

openalex publication_date 2018/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a draft version for an extra chapter in the second edition of the book Quantum Groups and Noncommutative Geometry by Yu. I. Manin. We survey our work on Manin's universal Hopf algebras, placing particular emphasis on the Tannaka-Krein formalism.

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