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Description - Extending Structures: Fundamentals and Applications by Ana Agore

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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Book Details

ISBN: 9780815347842
Format: Hardback
(234mm x 156mm x mm)
Pages: 224
Imprint: CRC Press Inc
Publisher: Taylor & Francis Inc
Publish Date: 22-Aug-2019
Country of Publication: United States

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