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7 - A Companion to Quantum Groups

Published online by Cambridge University Press:  25 November 2023

Edited by
David Jordan ,
Nadia Mazza  and
Sibylle Schroll
David Jordan
Affiliation:
University of Edinburgh
Nadia Mazza
Affiliation:
Lancaster University
Sibylle Schroll
Affiliation:
Universität zu Köln
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Summary

In this chapter we give an introductory account of quantum groups (and more generally, quasitriangular bialgebras), allowing the reader to familiarize themselves with the basic concepts and constructions in this modern area of study in algebra and representation theory. This material accompanies online graduate lectures on quantum groups given by the author at the London Mathematical Society Autumn Algebra School in 2020. We also provide some supplementary material, mainly in the last section on cylindrical quasitriangularity.

Keywords

quantum groupsquasitriangular bialgebras
Type
Chapter
Information
Modern Trends in Algebra and Representation Theory , pp. 227 - 272
Publisher: Cambridge University Press
Print publication year: 2023

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References

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