Combinatorial solutions to the reflection equation

Agata Smoktunowicz; Leandro Vendramin; Robert  Weston

doi:10.1016/j.jalgebra.2019.12.012

Combinatorial solutions to the reflection equation

Agata Smoktunowicz, Leandro Vendramin, Robert Weston

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We use ring-theoretic methods and methods from the theory of skew braces to produce set-theoretic solutions to the reflection equation. We also use set-theoretic solutions to construct solutions of the parameter dependent reflection equation.

Original language	English
Pages (from-to)	268-290
Journal	Journal of Algebra
Volume	549
Early online date	3 Jan 2020
DOIs	https://doi.org/10.1016/j.jalgebra.2019.12.012
Publication status	Published - 1 May 2020

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10.1016/j.jalgebra.2019.12.012

mainAccepted author manuscript, 308 KBLicence: Creative Commons: Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND)

Enhancing Representation Theory, Noncommutative Algebra And Geometry Through Moduli, Stability And Deformations
Gordon, I. (Principal Investigator), Bayer, A. (Co-investigator) & Smoktunowicz, A. (Co-investigator)
EPSRC
1/05/18 → 30/04/24
Project: Research
Combinatorial methods in noncommutative ring theory (COIMBRA)
Smoktunowicz, A. (Principal Investigator)
EU government bodies
1/06/13 → 31/05/18
Project: Research

Cite this

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title = "Combinatorial solutions to the reflection equation",

abstract = "We use ring-theoretic methods and methods from the theory of skew braces to produce set-theoretic solutions to the reflection equation. We also use set-theoretic solutions to construct solutions of the parameter dependent reflection equation.",

author = "Agata Smoktunowicz and Leandro Vendramin and Robert Weston",

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journal = "Journal of Algebra",

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AU - Smoktunowicz, Agata

AU - Vendramin, Leandro

AU - Weston, Robert

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N2 - We use ring-theoretic methods and methods from the theory of skew braces to produce set-theoretic solutions to the reflection equation. We also use set-theoretic solutions to construct solutions of the parameter dependent reflection equation.

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DO - 10.1016/j.jalgebra.2019.12.012

M3 - Article

SN - 0021-8693

VL - 549

SP - 268

EP - 290

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Combinatorial solutions to the reflection equation

Abstract

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Projects

Enhancing Representation Theory, Noncommutative Algebra And Geometry Through Moduli, Stability And Deformations

Combinatorial methods in noncommutative ring theory (COIMBRA)

Cite this