000			02930naaaa2200421uu 4500
001			https://directory.doabooks.org/handle/20.500.12854/49556
005			20220220044814.0
020			_abooks978-3-03897-325-6
020			_a9783038973256
020			_a9783038973249
024	7		_a10.3390/books978-3-03897-325-6 _cdoi
041	0		_aEnglish
042			_adc
100	1		_aFlorin Felix Nichita (Ed.) _4auth
245	1	0	_aHopf Algebras, Quantum Groups and Yang-Baxter Equations
260			_bMDPI - Multidisciplinary Digital Publishing Institute _c2019
300			_a1 electronic resource (238 p.)
506	0		_aOpen Access _2star _fUnrestricted online access
520			_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.
540			_aCreative Commons _fhttps://creativecommons.org/licenses/by-nc-nd/4.0/ _2cc _4https://creativecommons.org/licenses/by-nc-nd/4.0/
546			_aEnglish
653			_abraided category
653			_aquasitriangular structure
653			_aquantum projective space
653			_aHopf algebra
653			_aquantum integrability
653			_aduality
653			_asix-vertex model
653			_aQuantum Group
653			_aYang-Baxter equation
653			_astar-triangle relation
653			_aR-matrix
653			_aLie algebra
653			_abundle
653			_abraid group
856	4	0	_awww.oapen.org _uhttps://www.mdpi.com/books/pdfview/book/1119 _70 _zDOAB: download the publication
856	4	0	_awww.oapen.org _uhttps://directory.doabooks.org/handle/20.500.12854/49556 _70 _zDOAB: description of the publication
999			_c66021 _d66021