Extending Structures: Fundamentals and Applications - Couverture rigide

Livre 55 sur 79: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Agore, Ana; Militaru, Gigel

 
9780815347842: Extending Structures: Fundamentals and Applications
Couverture rigide
ISBN 10 : 0815347847 ISBN 13 : 9780815347842
Editeur : CRC Press Inc, 2019

Synopsis

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

    • Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

    À propos de l?auteur

    Ana Agore is a senior researcher at the Institute of Mathematics of the Romanian Academy, Romania. Her research interests include Hopf algebras and quantum groups, category theory and (non)associative algebras.

    Gigel Militaru is a professor at the University of Bucharest, Romania. His primary research interests are non commutative algebra, non-associative (Lie, Leibniz, Jacobi/Poisson) algebras, Hopf algebras and quantum groups.

    Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

    Éditeur
    CRC Press Inc
    Date d'édition
    2019
    Langue
    anglais
    ISBN 10 
    0815347847
    ISBN 13 
    9780815347842
    Reliure
    Relié
    Nombre de pages
    224
    Coordonnées du fabricant
    non disponible
    Personne responsable
    non disponible