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

Theo Raedschelders; Michel Van den Bergh

doi:10.1007/978-3-319-97987-8_15

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

Theo Raedschelders, Michel Van den Bergh

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

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 end(A) and gl(A) introduced in Chapters 5 and 8 are well-behaved objects.

Original language	English
Title of host publication	Quantum Groups and Noncommutative Geometry
Publisher	Springer
Pages	83-115
ISBN (Electronic)	978-3-319-97987-8
ISBN (Print)	978-3-319-97986-1
DOIs	https://doi.org/10.1007/978-3-319-97987-8_15
Publication status	Published - 12 Oct 2018

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title = "The Tannaka–Krein Formalism and (Re)Presentations of Universal Quantum Groups",

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 end(A) and gl(A) introduced in Chapters 5 and 8 are well-behaved objects.",

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AB - 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 end(A) and gl(A) introduced in Chapters 5 and 8 are well-behaved objects.

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

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