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Semi-Simple Lie Algebras and Their Representations
ISBN: 9780486449999 / Angielski / Miękka / 158 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. Author Robert N. Cahn, who is affiliated with the Lawrence Berkeley National Laboratory in Berkeley, California, has provided a new preface for this edition. Subjects include the killing form, the structure of simple Lie algebras and their representations, simple roots and the Cartan matrix, the classical Lie algebras, and the exceptional Lie algebras. Additional topics include...
Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this te...
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56,56 zł |
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Abstract Lie Algebras
ISBN: 9780486462820 / Angielski / Miękka / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Solid but concise, this account of Lie algebra emphasizes the theory's simplicity and offers new approaches to major theorems. Author David J. Winter, a Professor of Mathematics at the University of Michigan, also presents a general, extensive treatment of Cartan and related Lie subalgebras over arbitrary fields.
Preliminary material covers modules and nonassociate algebras, followed by a compact, self-contained development of the theory of Lie algebras of characteristic 0. Topics include solvable and nilpotent Lie algebras, Cartan subalgebras, and Levi's radical splitting theorem and the... Solid but concise, this account of Lie algebra emphasizes the theory's simplicity and offers new approaches to major theorems. Author David J. Winter,...
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52,20 zł |
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Linear Algebra
ISBN: 9780486635187 / Angielski / Miękka / 400 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this volume in his exceptional series of translations of Russian mathematical texts, Richard Silverman has taken Shilov's course in linear algebra and has made it even more accessible and more useful for English language readers.
Georgi E. Shilov, Professor of Mathematics at the Moscow State University, covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and... In this volume in his exceptional series of translations of Russian mathematical texts, Richard Silverman has taken Shilov's course in linear algebra ...
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108,61 zł |
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Clifford Algebras and Spinors
ISBN: 9780521005517 / Angielski / Miękka / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This second edition of a popular and unique introduction to Clifford algebras and spinors has three new chapters. The beginning chapters cover the basics: vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters, which will also interest physicists, include treatments of the quantum mechanics of the electron, electromagnetism and special relativity. A new classification of spinors is introduced, based on bilinear covariants of physical observables. This reveals a new class of spinors, residing among the Weyl, Majorana and Dirac spinors....
This second edition of a popular and unique introduction to Clifford algebras and spinors has three new chapters. The beginning chapters cover the bas...
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cena:
229,93 zł |
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Advanced Mathematical Methods
ISBN: 9780521289641 / Angielski / Miękka / 560 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Written in an appealing and informal style, this text is a self-contained second course on mathematical methods in linear algebra and multivariate calculus. The prerequisites are elementary courses in linear algebra and calculus, but the author has maintained a balance between a rigorous theoretical and a "cookbook" approach, so that the material will be accessible to students who have not studied mathematics in depth. Indeed, as much of the material is normally available only in technical textbooks, this book will have wide appeal to students whose interests are in application rather than...
Written in an appealing and informal style, this text is a self-contained second course on mathematical methods in linear algebra and multivariate cal...
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319,40 zł |
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Linear Algebra: An Introduction with Concurrent Examples
ISBN: 9780521310420 / Angielski / Miękka / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a readable introduction to linear algebra, starting at an elementary level. The book is intended for use in courses for both students of pure mathematics who may subsequently pursue more advanced study in the area, and for students who require linear algebra and its applications in other subjects. Throughout the text, emphasis is placed on applications of the subject in preference to more theoretical aspects. Worked examples are provided on every left hand page to accompany the text on the right hand page, allowing the reader to follow the text uninterrupted. To be most effective, the...
This is a readable introduction to linear algebra, starting at an elementary level. The book is intended for use in courses for both students of pure ...
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cena:
314,43 zł |
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Algebraic Topology Via Differential Geometry
ISBN: 9780521317146 / Angielski / Miękka / 376 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduced to De Rham cohomology, and explicit and detailed calculations are present as examples. Topics covered include Mayer-Vietoris exact sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This book will be suitable for graduate students taking courses in algebraic topology and in...
In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manif...
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cena:
259,76 zł |
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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:
180,22 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:
707,16 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:
925,88 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:
558,04 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:
558,04 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:
443,67 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:
806,58 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:
915,94 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:
975,59 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:
279,64 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:
155,37 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:
384,03 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:
379,05 zł |
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