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100   $a20161210d2016      u|         0
101 0 $aeng
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200 10$aLie Theory and Its Applications in Physics $eVarna, Bulgaria, June 2015 /$fedited by Vladimir Dobrev
205   $a1st ed. 2016.
210  1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2016.
215   $a1 online resource (XV, 614 p. 29 illus., 17 illus. in color.) 
225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v191
311   $a981-10-2635-1 
320   $aIncludes bibliographical references at the end of each chapters.
327   $aPart 1: Plenary Talks -- Part 2: String Theories and Gravity Theories -- Part 3: Integrable Systems -- Part 4: Representation Theory -- Part 5: Supersymmetry and Quantum Groups -- Part 6: Vertex Algebras and Lie Algebra Structure Theory -- Part 7: Various Mathematical Results.
330   $aThis volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend has been towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry, which is very helpful in understanding its structure. Geometrization and symmetries are employed in their widest sense, embracing representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators (PDO), special functions, and others. Furthermore, the necessary tools from functional analysis are included.< This is a large interdisciplinary and interrelated field, and the present volume is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.
410  0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v191
606   $aMathematical physics
606   $aFunctional analysis
606   $aTopological groups
606   $aLie groups
606   $aElementary particles (Physics)
606   $aQuantum field theory
606   $aAlgebraic geometry
606   $aNumber theory
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132
606   $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029
606   $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019
606   $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001
615  0$aMathematical physics.
615  0$aFunctional analysis.
615  0$aTopological groups.
615  0$aLie groups.
615  0$aElementary particles (Physics).
615  0$aQuantum field theory.
615  0$aAlgebraic geometry.
615  0$aNumber theory.
615 14$aMathematical Physics.
615 24$aFunctional Analysis.
615 24$aTopological Groups, Lie Groups.
615 24$aElementary Particles, Quantum Field Theory.
615 24$aAlgebraic Geometry.
615 24$aNumber Theory.
676   $a530
702   $aDobrev$b Vladimir$4edt$4http://id.loc.gov/vocabulary/relators/edt
801  0$bMiAaPQ
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906   $aBOOK
912   $a9910155533503321
996   $aLie theory and its applications in physics$91410030
997   $aUNINA