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Extending Structures: Fundamentals and Applications (Monographs and Research Notes in Mathematics) - Hardcover

Buch 55 von 79: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Agore, Ana; Militaru, Gigel

 
9780815347842: Extending Structures: Fundamentals and Applications (Monographs and Research Notes in Mathematics)
Hardcover
ISBN 10: 0815347847 ISBN 13: 9780815347842
Verlag: Taylor & Francis, 2019

Inhaltsangabe

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

    • Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

    Über die Autorin bzw. den Autor

    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.

    „Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

    Verlag
    Taylor & Francis
    Erscheinungsdatum
    2019
    Sprache
    Englisch
    ISBN 10 
    0815347847
    ISBN 13 
    9780815347842
    Einband
    Gebundene Ausgabe
    Anzahl der Seiten
    224
    Kontakt zum Hersteller
    Taylor and Francis
    gpsr@taylorandfrancis.com

    Taylor & Francis Verlag GmbH, Kaufingerstraße 24
    München
    80331
    Deutschland