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Thesis

Braided Hopf algebras, double constructions, and applications

Abstract:

This thesis contains four related papers which study different aspects of double constructions for braided Hopf algebras. The main result is a categorical action of a braided version of the Drinfeld center on a Heisenberg analogue, called the Hopf center. Moreover, an application of this action to the representation theory of rational Cherednik algebras is considered.

Chapter 1 : In this chapter, the Drinfeld center of a monoidal category is generalized to a class of mixed ...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Geometry and Representation Theory, Algebra
Oxford college:
St Peter's College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor

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Funding agency for:
Laugwitz, R
Grant:
EP/I033343/1

Publication date:
2015
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK

Language:
English
Keywords:
Subjects:
UUID:
uuid:ddcb459f-c3b4-40dd-9936-6bad6993ce8c
Local pid:
ora:12262
Deposit date:
2015-09-24

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