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Structure Theory, Helmut Strade


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Автор: Helmut Strade
Название:  Structure Theory
ISBN: 9783110515169
Издательство: Walter de Gruyter
Классификация:

ISBN-10: 3110515164
Обложка/Формат: Hardback
Страницы: 550
Вес: 1.07 кг.
Дата издания: 24.04.2017
Серия: Mathematics
Язык: English
Размер: 244 x 170 x 30
Читательская аудитория: Professional and scholarly
Ключевые слова: Algebra, MATHEMATICS / Algebra / Abstract,MATHEMATICS / Group Theory
Основная тема: MATHEMATICS / Algebra / Abstract,MATHEMATICS / Group Theory
Ссылка на Издательство: Link
Поставляется из: Германии
Описание:

The problem of classifying the finite dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one. Work on this question has been directed by the Kostrikin-Shafarevich Conjecture of 1966, which states that over an algebraically closed field of characteristic p > 5 a finite dimensional restricted simple Lie algebra is classical or of Cartan type. This conjecture was proved for p > 7 by Block and Wilson in 1988. The generalization of the Kostrikin-Shafarevich Conjecture for the general case of not necessarily restricted Lie algebras and p > 7 was announced in 1991 by Strade and Wilson and eventually proved by Strade in 1998. The final Block-Wilson-Strade-Premet Classification Theorem is a landmark result of modern mathematics and can be formulated as follows: Every simple finite dimensional simple Lie algebra over an algebraically closed field of characteristic p > 3 is of classical, Cartan, or Melikian type.

In the three-volume book, the author is assembling the proof of the Classification Theorem with explanations and references. The goal is a state-of-the-art account on the structure and classification theory of Lie algebras over fields of positive characteristic.

This first volume is devoted to preparing the ground for the classification work to be performed in the second and third volumes. The concise presentation of the general theory underlying the subject matter and the presentation of classification results on a subclass of the simple Lie algebras for all odd primes will make this volume an invaluable source and reference for all research mathematicians and advanced graduate students in algebra. The second edition is corrected.

Contents

Toral subalgebras in p-envelopes

Lie algebras of special derivations

Derivation simple algebras and modules

Simple Lie algebras

Recognition theorems

The isomorphism problem

Structure of simple Lie algebras

Pairings of induced modules

Toral rank 1 Lie algebras




Vibrations of mechanical systems with regular structure

Автор: Ludmilla Banakh; Mark Kempner
Название: Vibrations of mechanical systems with regular structure
ISBN: 3642264395 ISBN-13(EAN): 9783642264399
Издательство: Springer
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Цена: 20962.00 р.
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Описание: In this book, regular structures are de ned as periodic structures consisting of repeated elements (translational symmetry) as well as structures with a geom- ric symmetry.

Structure of a Group and the Structure of its Lattice of Subgroups

Автор: Michio Suzuki
Название: Structure of a Group and the Structure of its Lattice of Subgroups
ISBN: 3642527604 ISBN-13(EAN): 9783642527609
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Accordingly we have given some proofs in considerable detail, though of course it is in the nature of such areport that many proofs have to be omitted or can only be given in outline.

Structure and Representations of Q-Groups

Автор: Dennis Kletzing
Название: Structure and Representations of Q-Groups
ISBN: 354013865X ISBN-13(EAN): 9783540138655
Издательство: Springer
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Цена: 4884.00 р.
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Structure of Decidable Locally Finite Varieties

Автор: Ralph McKenzie; Matthew Valeriote
Название: Structure of Decidable Locally Finite Varieties
ISBN: 0817634398 ISBN-13(EAN): 9780817634391
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Examples of such decidabLe theories are the theory of Boolean algebras (Tarski [1949]), the theory of Abelian groups (Szmiele~ [1955]), and the theories of elementary arithmetic and geometry (Tarski [1951]` but Tarski discovered these results around 1930).

A Mathematical Structure for Emergent Computation

Автор: Victor Korotkikh
Название: A Mathematical Structure for Emergent Computation
ISBN: 0792360109 ISBN-13(EAN): 9780792360100
Издательство: Springer
Рейтинг:
Цена: 18167.00 р.
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Описание: Presents a mathematical structure, which is based on integers as the single concept. This book is applicable to models of computation and optimization. It is suitable for advanced undergraduate students and graduate students as well as research workers and practitioners in computer science information technology, mathematics and physics.

Studies in Structure

Автор: J.M. Holland
Название: Studies in Structure
ISBN: 0333113454 ISBN-13(EAN): 9780333113455
Издательство: Springer
Рейтинг:
Цена: 11179.00 р.
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Structure Theory for Canonical Classes of Finite Groups

Автор: Wenbin Guo
Название: Structure Theory for Canonical Classes of Finite Groups
ISBN: 3662516225 ISBN-13(EAN): 9783662516225
Издательство: Springer
Рейтинг:
Цена: 11878.00 р.
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Описание: This book offers a systematic introduction to recent achievements and development in research on the structure of finite non-simple groups, the theory of classes of groups and their applications.

Structure Theory for Canonical Classes of Finite Groups

Автор: Wenbin Guo
Название: Structure Theory for Canonical Classes of Finite Groups
ISBN: 3662457466 ISBN-13(EAN): 9783662457467
Издательство: Springer
Рейтинг:
Цена: 13974.00 р.
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Описание: This book offers a systematic introduction to recent achievements and development in research on the structure of finite non-simple groups, the theory of classes of groups and their applications.

Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications

Автор: Michele Benzi; Dario Bini; Daniel Kressner; Hans M
Название: Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications
ISBN: 331949886X ISBN-13(EAN): 9783319498867
Издательство: Springer
Рейтинг:
Цена: 10480.00 р.
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Описание: Focusing on special matrices and matrices which are in some sense `near` to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra.

Fluid-Structure Interaction: Modeling, Adaptive Discretisations and Solvers

Автор: Stefan Frei, B?rbel Holm, Thomas Richter, Thomas W
Название: Fluid-Structure Interaction: Modeling, Adaptive Discretisations and Solvers
ISBN: 3110495279 ISBN-13(EAN): 9783110495270
Издательство: Walter de Gruyter
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Цена: 22305.00 р.
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Описание: This monograph discusses modeling, adaptive discretisation techniques and the numerical solution of fluid structure interaction. An emphasis in part I lies on innovative discretisation and advanced interface resolution techniques. The second part covers the efficient and robust numerical solution of fluid-structure interaction. In part III, recent advances in the application fields vascular flows, binary-fluid-solid interaction, and coupling to fractures in the solid part are presented. Moreover each chapter provides a comprehensive overview in the respective topics including many references to concurring state-of-the art work. ContentsPart I: Modeling and discretizationOn the implementation and benchmarking of an extended ALE method for FSI problemsThe locally adapted parametric finite element method for interface problems on triangular meshesAn accurate Eulerian approach for fluid-structure interactions Part II: SolversNumerical methods for unsteady thermal fluid structure interactionRecent development of robust monolithic fluid-structure interaction solversA monolithic FSI solver applied to the FSI 1,2,3 benchmarks Part III: ApplicationsFluid-structure interaction for vascular flows: From supercomputers to laptopsBinary-fluid–solid interaction based on the Navier–Stokes–Cahn–Hilliard EquationsCoupling fluid-structure interaction with phase-field fracture: Algorithmic details

The Structure and Stability of Persistence Modules

Автор: Chazal
Название: The Structure and Stability of Persistence Modules
ISBN: 3319425439 ISBN-13(EAN): 9783319425436
Издательство: Springer
Рейтинг:
Цена: 6986.00 р.
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Описание:

This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use of a new calculus of quiver representations to facilitate explicit computations.
Appealing to both beginners and experts in the subject, The Structure and Stability of Persistence Modules provides a purely algebraic presentation of persistence, and thus complements the existing literature, which focuses mainly on topological and algorithmic aspects.
Structure Theorems of Unit Groups

Автор: Eric Jespers, ?Ѓngel del R?­o
Название: Structure Theorems of Unit Groups
ISBN: 3110411490 ISBN-13(EAN): 9783110411492
Издательство: Walter de Gruyter
Цена: 5569.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs. Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate. Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopaedic, all main results and techniques used to achieve these results are included. Basic courses in group theory, ring theory and field theory are assumed as background.


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