Combinatorial solutions to the reflection equation

Agata Smoktunowicz; Leandro Vendramin; Robert Andrew Weston

doi:10.1016/j.jalgebra.2019.12.012

Combinatorial solutions to the reflection equation

Agata Smoktunowicz
, Leandro Vendramin
, Robert Andrew Weston

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

12 Citations (Scopus)

98 Downloads (Pure)

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
Number of pages	23
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

Keywords

Brace
Radical ring
Reflection equation
Skew brace
Yang-Baxter equation

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jalgebra.2019.12.012

Download pdf
© 2020 Elsevier Inc. All rights reserved.
Accepted author manuscript, 221 KBLicence: CC BY-NC-ND

Cite this

@article{05f3ed7f38f346359da3c56d1c1e9769,

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.",

keywords = "Brace, Radical ring, Reflection equation, Skew brace, Yang-Baxter equation",

author = "Agata Smoktunowicz and Leandro Vendramin and Weston, \{Robert Andrew\}",

year = "2020",

month = may,

day = "1",

doi = "10.1016/j.jalgebra.2019.12.012",

language = "English",

volume = "549",

pages = "268--290",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Combinatorial solutions to the reflection equation

AU - Smoktunowicz, Agata

AU - Vendramin, Leandro

AU - Weston, Robert Andrew

PY - 2020/5/1

Y1 - 2020/5/1

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.

AB - 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.

KW - Brace

KW - Radical ring

KW - Reflection equation

KW - Skew brace

KW - Yang-Baxter equation

UR - https://www.scopus.com/pages/publications/85077759968

U2 - 10.1016/j.jalgebra.2019.12.012

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

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this