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Rigidity in Higher Rank Abelian Group Actions, Katok



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Автор: Katok
Название:  Rigidity in Higher Rank Abelian Group Actions
ISBN: 9780521879095
Издательство: Cambridge Academ
Классификация:
ISBN-10: 0521879094
Обложка/Формат: Hardback
Страницы: 320
Вес: 0.582 кг.
Дата издания: 16.06.2011
Серия: Cambridge Tracts in Mathematics, 185
Язык: English
Иллюстрации: 3 b/w illus.
Размер: 228 x 156 x 22
Читательская аудитория: mathematics, dynamical systems, symplectic geometry, topology
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Англии



Rank-Deficient and Discrete Ill-Posed Problems

Автор: Hansen
Название: Rank-Deficient and Discrete Ill-Posed Problems
ISBN: 0898714036 ISBN-13(EAN): 9780898714036
Издательство: Eurospan
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Цена: 10865 р.
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Описание: Here is an overview of modern computational stabilization methods for linear inversion, with applications to a variety of problems in audio processing, medical imaging, seismology, astronomy, and other areas. Rank-deficient problems involve matrices that are exactly or nearly rank deficient. Such problems often arise in connection with noise suppression and other problems where the goal is to suppress unwanted disturbances of given measurements. Discrete ill-posed problems arise in connection with the numerical treatment of inverse problems, where one typically wants to compute information about interior properties using exterior measurements. Examples of inverse problems are image restoration and tomography, where one needs to improve blurred images or reconstruct pictures from raw data. This book describes new and existing numerical methods for the analysis and solution of rank-deficient and discrete ill-posed problems. The emphasis is on insight into the stabilizing properties of the algorithms and the efficiency and reliability of the computations.

Low Rank Approximation

Автор: Ivan Markovsky
Название: Low Rank Approximation
ISBN: 1447158369 ISBN-13(EAN): 9781447158363
Издательство: Springer
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Цена: 12952 р.
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Описание: This book details the theory, algorithms, and applications of structured low-rank approximation, and presents efficient local optimization methods and effective suboptimal convex relaxations for Toeplitz, Hankel and Sylvester structured problems and more.

Direct Sum Decompositions of Torsion-Free Finite Rank Groups

Название: Direct Sum Decompositions of Torsion-Free Finite Rank Groups
ISBN: 1584887265 ISBN-13(EAN): 9781584887263
Издательство: Taylor&Francis
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Цена: 15125 р.
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Описание: With plenty of new material not found in other books, "Direct Sum Decompositions of Torsion-Free Finite Rank Groups" explores advanced topics in direct sum decompositions of abelian groups and their consequences. This book illustrates a new way of studying these groups while still honoring the rich history of unique direct sum decompositions of groups. Offering a unified approach to theoretic concepts, this reference covers isomorphism, endomorphism, refinement, the Baer splitting property, Gabriel filters, and endomorphism modules.

It shows how to effectively study a group G by considering finitely generated projective right End(G)-modules, the left End(G)-module G, and the ring E(G) = End(G)/N(End(G)). For instance, one of the naturally occurring properties considered is when E(G) is a commutative ring.Modern algebraic number theory provides results concerning the isomorphism of locally isomorphic rtffr groups, finitely faithful S-groups that are J-groups, and each rtffr L-group that is a J-group. This book concludes with useful appendices that contain background material and numerous examples.

Toroidal Groups / Line Bundles, Cohomology and Quasi-Abelian Varieties

Автор: Abe Yukitaka, Kopfermann Klaus
Название: Toroidal Groups / Line Bundles, Cohomology and Quasi-Abelian Varieties
ISBN: 3540419896 ISBN-13(EAN): 9783540419891
Издательство: Springer
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Цена: 3459 р.
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Описание: Toroidal groups are the connecting link between torus groups and any complex Lie groups. Many properties of complex Lie groups such as the pseudoconvexity and cohomology are determined by their maximal toroidal subgroups. Quasi-Abelian varieties are meromorphically separable toroidal groups. They are the natural generalisation of the Abelian varieties. Nevertheless, their behavior can be completely different as the wild groups show.

Non-abelian Fundamental Groups and Iwasawa Theory

Автор: Coates
Название: Non-abelian Fundamental Groups and Iwasawa Theory
ISBN: 1107648858 ISBN-13(EAN): 9781107648852
Издательство: Cambridge Academ
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Цена: 8900 р.
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Описание: Displays the intricate interplay between different foundations of non-commutative number theory.

Representations of Elementary Abelian  p -Groups and Vector Bundles

Автор: Benson
Название: Representations of Elementary Abelian p -Groups and Vector Bundles
ISBN: 1107174171 ISBN-13(EAN): 9781107174177
Издательство: Cambridge Academ
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Цена: 13694 р.
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Описание: Questions about modular representation theory of finite groups can often be reduced to elementary abelian subgroups. This is the first book to offer a detailed study of the representation theory of elementary abelian groups, bringing together information from many papers and journals, as well as unpublished research. Special attention is given to recent work on modules of constant Jordan type, and the methods involve producing and examining vector bundles on projective space and their Chern classes. Extensive background material is provided, which will help the reader to understand vector bundles and their Chern classes from an algebraic point of view, and to apply this to modular representation theory of elementary abelian groups. The final section, addressing problems and directions for future research, will also help to stimulate further developments in the subject. With no similar books on the market, this will be an invaluable resource for graduate students and researchers working in representation theory.

Exercises in Abelian Group Theory

Автор: Valcan
Название: Exercises in Abelian Group Theory
ISBN: 1402011830 ISBN-13(EAN): 9781402011832
Издательство: Springer
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Цена: 8892 р.
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Описание: Covers elementary results in Abelian Groups. This book covers many topics related to the theory. It offers exercises categorised according to their level of difficulty, simple, exercises of medium difficulty, difficult exercises, and their solutions. It is aimed at experts in the field as a reference to a large number of examples in Group Theory.

Mal`cev, Protomodular, Homological and Semi-Abelian Categories

Автор: Borceux Francis, Bourn Dominique
Название: Mal`cev, Protomodular, Homological and Semi-Abelian Categories
ISBN: 1402019610 ISBN-13(EAN): 9781402019616
Издательство: Springer
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Цена: 12704 р.
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Описание: The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in the last fifteen years, where the new and synthetic notions of Mal'cev, protomodular, homological and semi-abelian categories emerged. These notions force attention on the fibration of points and allow a unified treatment of the main algebraic: homological lemmas, Noether isomorphisms, commutator theory. The book gives full importance to examples and makes strong connections with Universal Algebra. One of its aims is to allow appreciating how productive the essential categorical constraint is: knowing an object, not from inside via its elements, but from outside via its relations with its environment. The book is intended to be a powerful tool in the hands of researchers in category theory, homology theory and universal algebra, as well as a textbook for graduate courses on these topics.

Rigidity in Dynamics and Geometry / Contributions from the Programme  "Ergodic Theory, Geometric Rigidity and Number Theory " Isaac Newton Institute for the Mathematical Sciences Cambridge, United Kingdom 5 January - 7 July 2000

Автор: Burger Marc, Iozzi Alessandra
Название: Rigidity in Dynamics and Geometry / Contributions from the Programme "Ergodic Theory, Geometric Rigidity and Number Theory " Isaac Newton Institute for the Mathematical Sciences Cambridge, United Kingdom 5 January - 7 July 2000
ISBN: 3540432434 ISBN-13(EAN): 9783540432432
Издательство: Springer
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Цена: 16169 р.
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Описание: This volume is an offspring of the special semester "Ergodic Theory, Geometric Rigidity and Number Theory" held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, from January until July, 2000. Some of the major recent developments in rigidity theory, geometric group theory, flows on homogeneous spaces and TeichmГјller spaces, quasi-conformal geometry, negatively curved groups and spaces, Diophantine approximation, and bounded cohomology are presented here. The authors have given special consideration to making the papers accessible to graduate students, with most of the contributions starting at an introductory level and building up to presenting topics at the forefront in this active field of research. The volume contains surveys and original unpublished results as well, and is an invaluable source also for the experienced researcher.

Finitely Generated Abelian Groups and Similarity of Matrices over a Field

Автор: Norman
Название: Finitely Generated Abelian Groups and Similarity of Matrices over a Field
ISBN: 1447127293 ISBN-13(EAN): 9781447127291
Издательство: Springer
Цена: 4037 р.
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Описание: At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common.  However, reduction to Smith normal form, named after its originator H.J.S.Smith in 1861, is a matrix version of the Euclidean algorithm and is exactly what the theory requires in both cases.  Starting with matrices over the integers, Part 1 of this book provides a measured introduction to such groups: two finitely generated abelian groups are isomorphic if and only if their invariant factor sequences are identical.  The analogous theory of matrix similarity over a field is then developed in Part 2 starting with matrices having polynomial entries: two matrices over a field are similar if and only if their rational canonical forms are equal.  Under certain conditions each matrix is similar to a diagonal or nearly diagonal matrix, namely its Jordan form. The reader is assumed to be familiar with the elementary properties of rings and fields.  Also a knowledge of abstract linear algebra including vector spaces, linear mappings, matrices, bases and dimension is essential, although much of the theory is covered in the text but from a more general standpoint: the role of vector spaces is widened to modules over commutative rings. Based on a lecture course taught by the author for nearly thirty years, the book emphasises algorithmic techniques and features numerous worked examples and exercises with solutions.  The early chapters form an ideal second course in algebra for second and third year undergraduates.  The later chapters, which cover closely related topics, e.g. field extensions, endomorphism rings, automorphism groups, and variants of the canonical forms, will appeal to more advanced students.  The book is a bridge between linear and abstract algebra.

Homological Algebra: In Strongly Non-Abelian Settings

Автор: Grandis Marco
Название: Homological Algebra: In Strongly Non-Abelian Settings
ISBN: 9814425915 ISBN-13(EAN): 9789814425919
Издательство: World Scientific Publishing
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Цена: 14517 р.
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Описание: We propose here a study of 'semiexact' and 'homological' categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, where satellites and spectral sequences can still be studied.This is a sequel of a book on 'Homological Algebra, The interplay of homology with distributive lattices and orthodox semigroups', published by the same Editor, but can be read independently of the latter.The previous book develops homological algebra in p-exact categories, i.e. exact categories in the sense of Puppe and Mitchell -- a moderate generalisation of abelian categories that is nevertheless crucial for a theory of 'coherence' and 'universal models' of (even abelian) homological algebra. The main motivation of the present, much wider extension is that the exact sequences or spectral sequences produced by unstable homotopy theory cannot be dealt with in the previous framework.According to the present definitions, a semiexact category is a category equipped with an ideal of 'null' morphisms and provided with kernels and cokernels with respect to this ideal. A homological category satisfies some further conditions that allow the construction of subquotients and induced morphisms, in particular the homology of a chain complex or the spectral sequence of an exact couple.Extending abelian categories, and also the p-exact ones, these notions include the usual domains of homology and homotopy theories, e.g. the category of 'pairs' of topological spaces or groups; they also include their codomains, since the sequences of homotopy 'objects' for a pair of pointed spaces or a fibration can be viewed as exact sequences in a homological category, whose objects are actions of groups on pointed sets.

Complex Abelian Varieties

Автор: Birkenhake Christina, Lange Herbert
Название: Complex Abelian Varieties
ISBN: 3540204881 ISBN-13(EAN): 9783540204886
Издательство: Springer
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Цена: 13859 р.
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Описание: The subject of this book is the theory of abelian varieties over the field of complex numbers. It covers the main results of the theory, both classic and recent, in modern language. It is intended to give a comprehensive introduction to the field, but also to serve as a reference. The focal topics are the projective embeddings of an abelian variety, their equations and geometric properties. Moreover several moduli spaces of abelian varieties with additional structure are constructed. Some special results on Jacobians and Prym varieties allow applications to the theory of algebraic curves. The second edition contains five new chapters which present some of the most important recent result on the subject. Among them are results on automorphisms and vector bundles on abelian varieties, algebraic cycles and the Hodge conjecture.


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