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Hilbert C*-Modules: A Toolkit for Operator Algebraists
ISBN: 9780521479103 / Angielski / Miękka / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of these modules together with their bounded and unbounded operators is not only rich and attractive in its own right but forms an infrastructure for some of the most important research topics in operator algebra. This book provides a clear and unified exposition of the main techniques and results in this area, including a substantial amount of new and unpublished material. Graduate students and researchers working in operator algebras will welcome this book as an excellent resource.
The theory of these modules together with their bounded and unbounded operators is not only rich and attractive in its own right but forms an infrastr...
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cena:
197,32 |
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Affine Lie Algebras and Quantum Groups
ISBN: 9780521484121 / Angielski / Miękka / 448 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an introduction to the theory of affine Lie algebras and to the theory of quantum groups. It is unique in discussing these two subjects in a unified manner, which is made possible by discussing their respective applications in conformal field theory. The description of affine algebras covers the classification problem, the connection with loop algebras, and representation theory including modular properties. The necessary background from the theory of semisimple Lie algebras is also provided. The discussion of quantum groups concentrates on deformed enveloping algebras and their...
This is an introduction to the theory of affine Lie algebras and to the theory of quantum groups. It is unique in discussing these two subjects in a u...
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cena:
374,35 |
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Lectures on Invariant Theory
ISBN: 9780521525480 / Angielski / Miękka / 238 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This introduction to the main ideas of algebraic and geometric invariant theory assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, and the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples that originate in classical algebraic geometry. Written in an accessible style with many examples and exercises, the...
This introduction to the main ideas of algebraic and geometric invariant theory assumes only a minimal background in algebraic geometry, algebra and r...
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cena:
369,69 |
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Symmetries, Lie Algebras and Representations: A Graduate Course for Physicists
ISBN: 9780521541190 / Angielski / Miękka / 464 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally from symmetries of physical systems and illustrate through examples much of their general structure. Chapters 4 to 13 give a detailed introduction to Lie algebras and their representations, covering the Cartan-Weyl basis, simple and affine Lie algebras, real forms and Lie groups, the Weyl group, automorphisms, loop algebras and highest weight representations. Chapters 14 to 22 cover specific further topics, such as Verma modules, Casimirs, tensor products...
This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally from symmetr...
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cena:
536,52 |
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Clifford Algebras and the Classical Groups
ISBN: 9780521551779 / Angielski / Twarda / 308 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book reflects the growing interest in the theory of Clifford algebras and their applications. The author has reworked his previous book on this subject, Topological Geometry, and has expanded and added material. As in the previous version, the author includes an exhaustive treatment of all the generalizations of the classical groups, as well as an excellent exposition of the classification of the conjugation anti-involution of the Clifford algebras and their complexifications. Toward the end of the book, the author introduces ideas from the theory of Lie groups and Lie algebras. This...
This book reflects the growing interest in the theory of Clifford algebras and their applications. The author has reworked his previous book on this s...
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cena:
542,07 |
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Classical Invariant Theory
ISBN: 9780521552431 / Angielski / Twarda / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival of computational methods coupled with powerful new computer algebra packages; and a wealth of new applications, ranging from number theory to geometry, physics to computer vision. This book provides readers with a self-contained introduction to the classical theory as well as modern developments and applications. The text concentrates on the study of binary forms (polynomials) in characteristic zero, and uses analytical as well as algebraic tools to study...
There has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival of computatio...
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cena:
518,77 |
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Idempotency
ISBN: 9780521553445 / Angielski / Twarda / 456 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Certain nonlinear optimization problems arise in such areas as the theory of computation, pure and applied probability, and mathematical physics. These problems can be solved through linear methods, providing the usual number system is replaced with one that satisfies the idempotent law. Only recently has a systematic study of idempotency analysis emerged, triggered in part by a workshop organized by Hewlett-Packard's Basic Research Institute in the Mathematical Sciences (BRIMS), which brought together for the first time many leading researchers in the area. This volume, a record of that...
Certain nonlinear optimization problems arise in such areas as the theory of computation, pure and applied probability, and mathematical physics. Thes...
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cena:
658,54 |
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Iterative Solution Methods
ISBN: 9780521555692 / Angielski / Miękka / 672 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Large linear systems of equations arise in most scientific problems where mathematical models are used. The most efficient methods for solving these equations are iterative methods. The first part of this book contains basic and classical material from the study of linear algebra and numerical linear algebra. The second half of the book is unique among books on this topic, because it is devoted to the construction of preconditioners and iterative acceleration methods of the conjugate gradient type. This book is for graduate students and researchers in numerical analysis and applied...
Large linear systems of equations arise in most scientific problems where mathematical models are used. The most efficient methods for solving these e...
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cena:
392,98 |
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Classical Invariant Theory
ISBN: 9780521558211 / Angielski / Miękka / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival of computational methods coupled with powerful new computer algebra packages; and a wealth of new applications, ranging from number theory to geometry, physics to computer vision. This book provides readers with a self-contained introduction to the classical theory as well as modern developments and applications. The text concentrates on the study of binary forms (polynomials) in characteristic zero, and uses analytical as well as algebraic tools to study...
There has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival of computatio...
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cena:
220,61 |
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Introduction to Subfactors
ISBN: 9780521584203 / Angielski / Miękka / 176 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Subfactors, a subject of considerable research activity for about fifteen years, are known to have significant relations with other fields such as low dimensional topology and algebraic quantum field theory. The authors present a new pictorial approach to subfactors in addition to discussions of basic principles. This book provides an important introduction to the subject and is aimed at students with only a little familiarity with the theory of Hilbert space and other newcomers to the field.
Subfactors, a subject of considerable research activity for about fifteen years, are known to have significant relations with other fields such as low...
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cena:
374,35 |
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Finite Free Resolutions
ISBN: 9780521604871 / Angielski / Miękka / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An important part of homological algebra deals with modules possessing projective resolutions of finite length. This goes back to Hilbert??'s famous theorem on syzygies through, in the earlier theory, free modules with finite bases were used rather than projective modules. The introduction of a wider class of resolutions led to a theory rich in results, but in the process certain special properties of finite free resolutions were overlooked. D. A. Buchsbaum and D. Eisenbud have shown that finite free resolutions have a fascinating structure theory. This has revived interest in the simpler...
An important part of homological algebra deals with modules possessing projective resolutions of finite length. This goes back to Hilbert??'s famous t...
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cena:
357,68 |
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Representations of Nilpotent Lie Groups and Their Applications: Volume 1, Part 1, Basic Theory and Examples
ISBN: 9780521604956 / Angielski / Miękka / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There has been no exposition of group representations and harmonic analysis suitable for graduate students for over twenty years. In this, the first of two projected volumes, the authors remedy the situation by surveying all the basic theory developed since the pioneering work of Kirillov in 1958, and consolidating more recent results. Topics covered include basic Kirillov theory, algorithms for parametrizing all coadjoint orbits. The authors have not only given here a modern account of all topics necessary for current research, but have also included many computed examples. This volume can...
There has been no exposition of group representations and harmonic analysis suitable for graduate students for over twenty years. In this, the first o...
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cena:
362,27 |
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K-Theory for Operator Algebras
ISBN: 9780521635325 / Angielski / Miękka / 324 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. K-theory has helped convert the theory of operator algebras from a simple branch of functional analysis to a subject with broad applicability throughout mathematics, especially in geometry and topology, and many mathematicians of diverse backgrounds must learn the essential parts of the theory. This book is the only comprehensive treatment of K-theory for operator algebras, and is intended to help students, non specialists, and specialists learn the subject. This first paperback printing has been revised and expanded and contains an updated reference list. This book develops K-theory, the...
K-theory has helped convert the theory of operator algebras from a simple branch of functional analysis to a subject with broad applicability througho...
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cena:
229,93 |
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Auslander-Buchweitz Approximations of Equivariant Modules
ISBN: 9780521796965 / Angielski / Miękka / 298 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents a new homological approximation theory in the category of equivariant modules, unifying the Cohen-Macaulay approximations in commutative ring theory and Ringel's theory of Delta-good approximations for quasi-hereditary algebras and reductive groups. The book provides a detailed introduction to homological algebra, commutative ring theory and homological theory of comodules of coalgebras over an arbitrary base. It aims to overcome the difficulty of generalizing known homological results in representation theory.
This book presents a new homological approximation theory in the category of equivariant modules, unifying the Cohen-Macaulay approximations in commut...
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cena:
318,44 |
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An Algebraic Introduction to K-Theory
ISBN: 9780521800785 / Angielski / Twarda / 692 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is both an introduction to K-theory and a text in algebra. These two roles are entirely compatible. On the one hand, nothing more than the basic algebra of groups, rings, and modules is needed to explain the clasical algebraic K-theory. On the other hand, K-theory is a natural organizing principle for the standard topics of a second course in algebra, and these topics are presented carefully here. The reader will not only learn algebraic K-theory, but also Dedekind domains, class groups, semisimple rings, character theory, quadratic forms, tensor products, localization, completion,...
This book is both an introduction to K-theory and a text in algebra. These two roles are entirely compatible. On the one hand, nothing more than the b...
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cena:
830,92 |
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An Introduction to Invariants and Moduli
ISBN: 9780521809061 / Angielski / Twarda / 524 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Incorporated in this volume are the first two books in Mukai's series on Moduli Theory. The notion of a moduli space is central to geometry. However, its influence is not confined there; for example, the theory of moduli spaces is a crucial ingredient in the proof of Fermat's last theorem. Researchers and graduate students working in areas ranging from Donaldson or Seiberg-Witten invariants to more concrete problems such as vector bundles on curves will find this to be a valuable resource. Among other things this volume includes an improved presentation of the classical foundations of...
Incorporated in this volume are the first two books in Mukai's series on Moduli Theory. The notion of a moduli space is central to geometry. However, ...
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cena:
667,85 |
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Completely Bounded Maps and Operator Algebras
ISBN: 9780521816694 / Angielski / Twarda / 314 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book tours the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, along with some of their main applications. It requires only a basic background in functional analysis. The presentation is self-contained and paced appropriately for graduate students new to the subject. Experts will appreciate how the author illustrates the power of methods he has developed with new and simpler proofs of some of the major results in the area, many of which have not appeared earlier in the literature. An...
This book tours the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces...
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cena:
560,70 |
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Affine Hecke Algebras and Orthogonal Polynomials
ISBN: 9780521824729 / Angielski / Twarda / 186 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A satisfactory and coherent theory of orthogonal polynomials in several variables, attached to root systems, and depending on two or more parameters, has developed in recent years. This comprehensive account of the subject provides a unified foundation for the theory to which I.G. Macdonald has been a principal contributor. The first four chapters lead up to Chapter 5 which contains all the main results.
A satisfactory and coherent theory of orthogonal polynomials in several variables, attached to root systems, and depending on two or more parameters, ...
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cena:
556,05 |
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Introduction to Banach Algebras, Operators, and Harmonic Analysis
ISBN: 9780521828932 / Angielski / Twarda / 336 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Based on lectures given at an instructional course, this volume enables readers with a basic knowledge of functional analysis to access key research in the field. The authors survey several areas of current interest, making this volume ideal preparatory reading for students embarking on graduate work as well as for mathematicians working in related areas.
Based on lectures given at an instructional course, this volume enables readers with a basic knowledge of functional analysis to access key research i...
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cena:
574,68 |
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A Survey of Preconditioned Iterative Methods
ISBN: 9780582276543 / Angielski / Twarda / 176 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This report presents a survey of iterative methods for the solution of large linear systems of algebraic equations. In particular, it focuses on systems derived as discrete counterparts to partial differential equations.
This report presents a survey of iterative methods for the solution of large linear systems of algebraic equations. In particular, it focuses on syste...
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cena:
934,36 |
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