Extending Structures : Fundamentals and Applications /
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 whi...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton, FL :
CRC Press,
[2020]
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| Series: | Chapman & Hall/CRC research notes in mathematics series.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. Features Provides a unified approach to the extension problem and the factorization problem Introduces 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 data Describes a way of classifying a certain class of finite Lie/Leibniz/Poisson/Jacobi/associative algebras etc. using flag structures Introduces new (non)abelian cohomological objects for all of the aforementioned categories As 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 described |
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| Physical Description: | 1 online resource (xviii, 224 pages) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781351168717 1351168711 9781351168724 135116872X 9781351168700 1351168703 9781351168694 135116869X |