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Centrification of algebras and Hopf algebras

Part of: Rings and algebras arising under various constructions Hopf algebras, quantum groups and related topics

Published online by Cambridge University Press:  08 April 2021

Dmitriy Rumynin  and
Matthew Westaway
Dmitriy Rumynin
Affiliation:
Department of Mathematics, University of Warwick, Coventry CV4 7AL, UK and Laboratory of Algebraic Geometry, National Research University Higher School of Economics, Moscow, Russia e-mail: D.Rumynin@warwick.ac.uk
Matthew Westaway*
Affiliation:
School of Mathematics, University of Birmingham, BirminghamB15 2TT, UK
*
e-mail: M.P.Westaway@bham.ac.uk
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Abstract

We investigate a method of construction of central deformations of associative algebras, which we call centrification. We prove some general results in the case of Hopf algebras and provide several examples.

Keywords

Generators and relations for associative algebrasGröbner–Shirshov basisdeformationHopf algebra

MSC classification

Primary: 16S15: Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting)
Secondary: 16T05: Hopf algebras and their applications
Type
Article
Information
Canadian Mathematical Bulletin , Volume 65 , Issue 1 , March 2022 , pp. 155 - 169
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Copyright
© Canadian Mathematical Society 2021

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