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Triangulated Categories in the Representation of Finite Dimensional Algebras
ISBN: 9780521339223 / Angielski / Miękka / 220 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Happel presents an introduction to the use of triangulated categories in the study of representations of finit-dimensional algeras. In recent years representation theory has been an area of intense research and the author shows that derived categories of finite=dimensional algebras are a useful tool in studying tilting processes. Results on the structure of derived categories of hereditary algebras are used to investigate Dynkin algebras and iterated tilted algebras. The author shows how triangulated categories arise naturally in the study of Frobenius categories. The study of trivial...
Happel presents an introduction to the use of triangulated categories in the study of representations of finit-dimensional algeras. In recent years re...
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cena:
218,87 zł |
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Clifford Algebras and Dirac Operators in Harmonic Analysis
ISBN: 9780521346542 / Angielski / Twarda / 344 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to unite the seemingly disparate topics of Clifford algebras, analysis on manifolds, and harmonic analysis. The authors show how algebra, geometry, and differential equations play a more fundamental role in Euclidean Fourier analysis. They then link their presentation of the Euclidean theory naturally to the representation theory of semi-simple Lie groups.
The aim of this book is to unite the seemingly disparate topics of Clifford algebras, analysis on manifolds, and harmonic analysis. The authors show h...
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cena:
685,60 zł |
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Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras
ISBN: 9780521366373 / Angielski / Twarda / 812 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological...
This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Bana...
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cena:
893,54 zł |
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Operator Algebras in Dynamical Systems
ISBN: 9780521400961 / Angielski / Twarda / 232 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made considerable contributions. This is an active area of research, and one of the most ambitious aims of the theory is to develop quantum statistical mechanics within the framework of C*-theory. The presentation concentrates on topics involving quantum statistical mechanics and differentiations on manifolds. One of the goals is to formulate the absence theorem of phase transitions in its...
This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics an...
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cena:
537,73 zł |
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Schur Algebras and Representation Theory
ISBN: 9780521415910 / Angielski / Twarda / 252 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Schur algebras are an algebraic system that provide a link between the representation theory of the symmetric and general linear groups. Dr. Martin gives a self-contained account of this algebra and those links, covering the basic ideas and their quantum analogues. He discusses not only the usual representation-theoretic topics (such as constructions of irreducible modules, the structure of blocks containing them, decomposition numbers and so on) but also the intrinsic properties of Schur algebras, leading to a discussion of their cohomology theory. He also investigates the relationship...
Schur algebras are an algebraic system that provide a link between the representation theory of the symmetric and general linear groups. Dr. Martin gi...
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cena:
537,73 zł |
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Locally Presentable and Accessible Categories
ISBN: 9780521422611 / Angielski / Miękka / 332 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The concepts of a locally presentable category and an accessible category are extremely useful in formulating connections between universal algebra, model theory, logic, and computer science. The aim of this book is to provide an exposition of both the theory and the applications of these categories at a level accessible to graduate students. The concepts of lambda-presentable objects, locally lambda-presentable categories, and lambda-accessible categories are discussed in detail. The authors prove that Freyd's essentially algebraic categories are precisely the locally presentable categories....
The concepts of a locally presentable category and an accessible category are extremely useful in formulating connections between universal algebra, m...
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cena:
477,65 zł |
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Handbook of Categorical Algebra: Volume 1, Basic Category Theory
ISBN: 9780521441780 / Angielski / Twarda / 364 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A Handbook of Categorical Algebra, in three volumes, is a detailed account of everything a mathematician needs to know about category theory. Each volume is self-contained and is accessible to graduate students with a good background in mathematics. Volume 1 is devoted to general concepts. After introducing the terminology and proving the fundamental results concerning limits, adjoint functors and Kan extensions, the categories of fractions are studied in detail; special consideration is paid to the case of localizations. The remainder of the first volume studies various "refinements" of the...
A Handbook of Categorical Algebra, in three volumes, is a detailed account of everything a mathematician needs to know about category theory. Each vol...
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cena:
778,02 zł |
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Handbook of Categorical Algebra: Volume 2, Categories and Structures
ISBN: 9780521441797 / Angielski / Twarda / 464 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The second volume, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibered categories.
The second volume, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental...
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cena:
884,30 zł |
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Handbook of Categorical Algebra: Volume 3, Sheaf Theory
ISBN: 9780521441803 / Angielski / Twarda / 544 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This third volume turns to topos theory and the idea of sheaves. The theory of locales is considered first, and Grothendieck toposes are introduced. Notions of sketchability and accessible categories are discussed, and an axiomatic generalization of the category of sheaves is given.
This third volume turns to topos theory and the idea of sheaves. The theory of locales is considered first, and Grothendieck toposes are introduced. N...
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cena:
944,37 zł |
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Infinite-Dimensional Lie Algebras
ISBN: 9780521466936 / Angielski / Miękka / 424 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the third, substantially revised edition of this important monograph. The book is concerned with Kac Moody algebras, a particular class of infinite-dimensional Lie algebras, and their representations. It is based on courses given over a number of years at MIT and in Paris, and is sufficiently self-contained and detailed to be used for graduate courses. Each chapter begins with a motivating discussion and ends with a collection of exercises, with hints to the more challenging problems."
This is the third, substantially revised edition of this important monograph. The book is concerned with Kac Moody algebras, a particular class of inf...
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cena:
269,70 zł |
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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:
192,08 zł |
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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:
371,36 zł |
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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:
366,74 zł |
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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:
507,62 zł |
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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:
537,73 zł |
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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:
514,62 zł |
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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:
653,25 zł |
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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:
389,84 zł |
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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:
218,87 zł |
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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:
371,36 zł |
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