Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sbornik: Mathematics, 2018, Volume 209, Issue 6, Pages 901–918
DOI: https://doi.org/10.1070/SM8863 (Mi sm8863) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Solutions of the BiHom-Yang-Baxter equation

X. Fanga, W. Liub

a Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, China
b Department of Mathematics, Yuanpei College of Shaoxing University, Shaoxing, China
English version PDF (531 kB) Citations (4) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM8863
Abstract: In this paper we extend the Yang-Baxter equation (YBE) into the setting of BiHom-structures and the BiHom-Yang-Baxter equation (BHYBE) is introduced. Two methods for constructing solutions of the BHYBE are discussed, one from Hopf algebras and the other from BiHom-Lie algebras. Finally, as an application, we show that a solution of the BHYBE can generate a representation of the braid group.
Bibliography: 34 titles.
Keywords: BiHom-Yang-Baxter equation, BiHom-Lie algebra, BiHom-associative algebra.
Funding agency Grant number
Natural Science Foundation of Zhejiang Province LY14A010006
National Natural Science Foundation of China 11571239
X.-L. Fang's research was carried out with the support of the Natural Science Foundation of Zhejiang Province (grant no. LY14A010006) and the National Natural Science Foundation of China (grant no. 11571239).
Received: 15.11.2016 and 02.07.2017
Bibliographic databases:
Document Type: Article
UDC: 512.667.7
MSC: 16T05, 16T15, 16T25
Language: English
Original paper language: Russian
Citation: X. Fang, W. Liu, “Solutions of the BiHom-Yang-Baxter equation”, Sb. Math., 209:6 (2018), 901–918
Citation in format AMSBIB
\Bibitem{FanLiu18}
\by X.~Fang, W.~Liu
\paper Solutions of the BiHom-Yang-Baxter equation
\jour Sb. Math.
\yr 2018
\vol 209
\issue 6
\pages 901--918
\mathnet{http://mi.mathnet.ru//eng/sm8863}
\crossref{https://doi.org/10.1070/SM8863}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3807910}
\zmath{https://zbmath.org/?q=an:1442.16035}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2018SbMat.209..901F}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000441840600008}
\elib{https://elibrary.ru/item.asp?id=34940689}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85052374927}
Linking options:
  • https://www.mathnet.ru/eng/sm8863
  • https://doi.org/10.1070/SM8863
  • https://www.mathnet.ru/eng/sm/v209/i6/p128
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:443
    Russian version PDF:34
    English version PDF:21
    References:51
    First page:17
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024