Description:Extending Structures: Fundamentals and Applications treats the extending structures (ES) problem in the context of groups, Lie/Leibniz algebras, associative algebras and Poisson/Jacobi algebras. This concisely written monograph offers the reader an incursion into the extending structures problem which provides a common ground for studying both the extension problem and the factorization problem. FeaturesProvides a unified approach to the extension problem and the factorization problemIntroduces the classifying complements problem as a sort of converse of the factorization problem; and in the case of groups it leads to a theoretical formula for computing the number of types of isomorphisms of all groups of finite order that arise from a minimal set of dataDescribes a way of classifying a certain class of finite Lie/Leibniz/Poisson/Jacobi/associative algebras etc. using flag structuresIntroduces new (non)abelian cohomological objects for all of the aforementioned categoriesAs an application to the approach used for dealing with the classification part of the ES problem, the Galois groups associated with extensions of Lie algebras and associative algebras are describedWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Extending Structures: Fundamentals and Applications (Chapman & Hall/CRC Monographs and Research Notes in Mathematics). To get started finding Extending Structures: Fundamentals and Applications (Chapman & Hall/CRC Monographs and Research Notes in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.
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Extending Structures: Fundamentals and Applications (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
Description: Extending Structures: Fundamentals and Applications treats the extending structures (ES) problem in the context of groups, Lie/Leibniz algebras, associative algebras and Poisson/Jacobi algebras. This concisely written monograph offers the reader an incursion into the extending structures problem which provides a common ground for studying both the extension problem and the factorization problem. FeaturesProvides a unified approach to the extension problem and the factorization problemIntroduces the classifying complements problem as a sort of converse of the factorization problem; and in the case of groups it leads to a theoretical formula for computing the number of types of isomorphisms of all groups of finite order that arise from a minimal set of dataDescribes a way of classifying a certain class of finite Lie/Leibniz/Poisson/Jacobi/associative algebras etc. using flag structuresIntroduces new (non)abelian cohomological objects for all of the aforementioned categoriesAs an application to the approach used for dealing with the classification part of the ES problem, the Galois groups associated with extensions of Lie algebras and associative algebras are describedWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Extending Structures: Fundamentals and Applications (Chapman & Hall/CRC Monographs and Research Notes in Mathematics). To get started finding Extending Structures: Fundamentals and Applications (Chapman & Hall/CRC Monographs and Research Notes in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.