Special Issue "Hopf Algebras, Quantum Groups and Yang-Baxter Equations 2014"

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A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: closed (31 December 2014)

Special Issue Editor

Guest Editor
Dr. Florin Felix Nichita
Simion Stoilow Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania
Website: http://www.imar.ro/organization/people/PRS/PRS_118.php?PAG=PRS
Phone: + 40 244 598 194
Interests: (co)algebras; bialgebras; Yang-Baxter equations; Lie (co)algebras; quantum groups; Hopf algebras; duality theories

Special Issue Information

Dear Colleagues,

The Yang-Baxter equation first appeared in theoretical physics, in a paper (1968) by the Nobel laureate C.N. Yang, and in statistical mechanics, in R.J. Baxter's work (1971). Later, it turned out that this equation plays a crucial role in: quantum groups, knot theory, braided categories, analysis of integrable systems, quantum mechanics, non-commutative descent theory, quantum computing, non-commutative geometry, etc.

Many scientists have used the axioms of various algebraic structures (quasi-triangular Hopf algebras, Yetter-Drinfeld categories, Lie (super)algebras, algebra structures, Boolean algebras, etc) or computer calculations in order to produce solutions for the Yang-Baxter equation. However, the full classification of its solutions remains an open problem.

Contributions related to the various aspects of the Yang-Baxter equations, the related algebraic structures, and their applications are invited. We would like to gather together both relevant reviews (with historical notes, open problems or research directions) and research papers (on the new developments of the Yang-Baxter equations).

Dr. Florin Felix Nichita
Guest Editor

Submission

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. Papers will be published continuously (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are refereed through a peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed Open Access quarterly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 300 CHF (Swiss Francs). English correction and/or formatting fees of 250 CHF (Swiss Francs) will be charged in certain cases for those articles accepted for publication that require extensive additional formatting and/or English corrections.


Keywords

  • Yang-Baxter equation
  • Yang-Baxter system
  • Quantum Groups
  • Hopf algebra
  • braid group
  • braided category

Related Special Issue

Published Papers (4 papers)

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Displaying article 1-4
p. 177-193
by
Axioms 2015, 4(2), 177-193; doi:10.3390/axioms4020177
Received: 19 December 2014 / Accepted: 30 April 2015 / Published: 8 May 2015
Show/Hide Abstract | PDF Full-text (241 KB)
(This article belongs to the Special Issue Hopf Algebras, Quantum Groups and Yang-Baxter Equations 2014)
p. 134-155
by
Axioms 2015, 4(2), 134-155; doi:10.3390/axioms4020134
Received: 6 September 2014 / Revised: 8 March 2015 / Accepted: 31 March 2015 / Published: 8 April 2015
Show/Hide Abstract | PDF Full-text (259 KB)
(This article belongs to the Special Issue Hopf Algebras, Quantum Groups and Yang-Baxter Equations 2014)
p. 32-70
by  and
Axioms 2015, 4(1), 32-70; doi:10.3390/axioms4010032
Received: 1 October 2014 / Revised: 11 December 2014 / Accepted: 4 January 2015 / Published: 19 January 2015
Show/Hide Abstract | PDF Full-text (435 KB)
(This article belongs to the Special Issue Hopf Algebras, Quantum Groups and Yang-Baxter Equations 2014)
p. 360-368
by ,  and
Axioms 2014, 3(4), 360-368; doi:10.3390/axioms3040360
Received: 22 September 2014 / Revised: 25 October 2014 / Accepted: 4 November 2014 / Published: 14 November 2014
Show/Hide Abstract | PDF Full-text (216 KB)
(This article belongs to the Special Issue Hopf Algebras, Quantum Groups and Yang-Baxter Equations 2014)
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Last update: 31 July 2015

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