Hopf Algebras, Quantum Groups and Yang-Baxter Equations (Record no. 66021)

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000 -LEADER
fixed length control field 02930naaaa2200421uu 4500
001 - CONTROL NUMBER
control field https://directory.doabooks.org/handle/20.500.12854/49556
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220220044814.0
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number books978-3-03897-325-6
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783038973256
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783038973249
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.3390/books978-3-03897-325-6
Terms of availability doi
041 0# - LANGUAGE CODE
Language code of text/sound track or separate title English
042 ## - AUTHENTICATION CODE
Authentication code dc
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Florin Felix Nichita (Ed.)
Relationship auth
245 10 - TITLE STATEMENT
Title Hopf Algebras, Quantum Groups and Yang-Baxter Equations
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. MDPI - Multidisciplinary Digital Publishing Institute
Date of publication, distribution, etc. 2019
300 ## - PHYSICAL DESCRIPTION
Extent 1 electronic resource (238 p.)
506 0# - RESTRICTIONS ON ACCESS NOTE
Terms governing access Open Access
Source of term star
Standardized terminology for access restriction Unrestricted online access
520 ## - SUMMARY, ETC.
Summary, etc. The Yang-Baxter equation first appeared in theoretical physics, in a paper by the Nobel laureate C.N. Yang and in the work of R.J. Baxter in the field of Statistical Mechanics. At the 1990 International Mathematics Congress, Vladimir Drinfeld, Vaughan F. R. Jones, and Edward Witten were awarded Fields Medals for their work related to the Yang-Baxter equation. It turned out that this equation is one of the basic equations in mathematical physics; more precisely, it is used for introducing the theory of quantum groups. It also plays a crucial role in: knot theory, braided categories, the analysis of integrable systems, 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, quandles, group actions, Lie (super)algebras, brace structures, (co)algebra structures, Jordan triples, Boolean algebras, relations on sets, etc.) or computer calculations (and Grobner bases) in order to produce solutions for the Yang-Baxter equation. However, the full classification of its solutions remains an open problem. At present, the study of solutions of the Yang-Baxter equation attracts the attention of a broad circle of scientists. The current volume highlights various aspects of the Yang-Baxter equation, related algebraic structures, and applications.
540 ## - TERMS GOVERNING USE AND REPRODUCTION NOTE
Terms governing use and reproduction Creative Commons
Use and reproduction rights https://creativecommons.org/licenses/by-nc-nd/4.0/
Source of term cc
-- https://creativecommons.org/licenses/by-nc-nd/4.0/
546 ## - LANGUAGE NOTE
Language note English
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Uncontrolled term braided category
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Uncontrolled term quasitriangular structure
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Uncontrolled term quantum projective space
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Uncontrolled term Hopf algebra
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Uncontrolled term quantum integrability
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Uncontrolled term duality
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Uncontrolled term six-vertex model
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Uncontrolled term Quantum Group
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Uncontrolled term Yang-Baxter equation
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Uncontrolled term star-triangle relation
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Uncontrolled term R-matrix
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Uncontrolled term Lie algebra
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Uncontrolled term bundle
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Uncontrolled term braid group
856 40 - ELECTRONIC LOCATION AND ACCESS
Host name www.oapen.org
Uniform Resource Identifier <a href="https://www.mdpi.com/books/pdfview/book/1119">https://www.mdpi.com/books/pdfview/book/1119</a>
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Public note DOAB: download the publication
856 40 - ELECTRONIC LOCATION AND ACCESS
Host name www.oapen.org
Uniform Resource Identifier <a href="https://directory.doabooks.org/handle/20.500.12854/49556">https://directory.doabooks.org/handle/20.500.12854/49556</a>
Access status 0
Public note DOAB: description of the publication

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