Quantum Groups and Noncommutative Geometry pp 83-115 | Cite as

# The Tannaka–Krein Formalism and (Re)Presentations of Universal Quantum Groups

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## Abstract

In this chapter we expand upon Section 14.8 of the present volume, where the possibility of “hidden symmetry” in algebraic geometry was discussed. More precisely, our goal is to convince the reader that, as long as one starts with a reasonable algebra \(A\), the universal bi- and Hopf algebras \({{\mathrm{\underline{end}}}}(A)\) and \({{\mathrm{\underline{gl}}}}(A)\) introduced in Chapters 5 and 8 are well-behaved objects.

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