Details

Extending Structures


Extending Structures

Fundamentals and Applications
Chapman & Hall/CRC Monographs and Research Notes in Mathematics

von: Ana Agore

56,24 €

Verlag: Crc Press
Format: EPUB, PDF
Veröffentl.: 29.08.2019
ISBN/EAN: 9781351168717
Sprache: englisch
Anzahl Seiten: 224

DRM-geschütztes eBook, Sie benötigen z.B. Adobe Digital Editions und eine Adobe ID zum Lesen.

Beschreibungen

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 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 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 described

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