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Information × Registration Number 0211U005752, 0111U008401 , R & D reports Title Representation theory and the quiver method in mathematical physics popup.stage_title Head Kurinnoj Grigorij Charlzovich, Registration Date 27-12-2011 Organization Kharkov National University named after V.N. Karazin popup.description2 Subject of research - quivers and their application in mathematical physics. A purpose of work is research of interconnections between the mathematical models of elementary particles and quivers related to them, also investigation of quiver representations. Some properties and applications of quivers are considered in mathematical physics, and in those divisions of fundamental mathematics (algebra of and other), which are used by mathematical physics. Graphs and methods of their setting are investigated at first. The semigroup of paths are then determined, as well as a free semigroup algebra over this semigroup. Possibility of interpretation of quivers is shown within the framework of theory of categories, the path algebras are built over the number field. The importance of quivers is underlined for visualization of connections between the investigated objects of modern models of elementary particles. Quivers are further determined over rings, and representations of quivers as diagrams of finite partial sets and as lattices of congruences of universal algebra. Finally, applications of in informatics are demonstrated, and also superquivers are briefly considered. Product Description popup.authors Курінний Г.Ч. Резуненко В.О. popup.nrat_date 2020-04-02 Close