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010   $a3-03897-325-4
035   $a(CKB)4920000000094873
035   $a(oapen)https://directory.doabooks.org/handle/20.500.12854/49556
035   $a(EXLCZ)994920000000094873
100   $a20202102d2019      |y         0
101 0 $aeng
135   $aurmn|---annan
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aHopf Algebras, Quantum Groups and Yang-Baxter Equations
210   $cMDPI - Multidisciplinary Digital Publishing Institute$d2019
215   $a1 electronic resource (238 p.)
311   $a3-03897-324-6 
330   $aThe 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.
610   $abraided category
610   $aquasitriangular structure
610   $aquantum projective space
610   $aHopf algebra
610   $aquantum integrability
610   $aduality
610   $asix-vertex model
610   $aQuantum Group
610   $aYang-Baxter equation
610   $astar-triangle relation
610   $aR-matrix
610   $aLie algebra
610   $abundle
610   $abraid group
700   $aFlorin Felix Nichita (Ed.)$4auth$01318722
906   $aBOOK
912   $a9910346679403321
996   $aHopf Algebras, Quantum Groups and Yang-Baxter Equations$93033486
997   $aUNINA