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Algebras, rings and their representations - proceedings of the international conference on algebras, modules and rings, 



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Цена: 20406р.
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Название:  Algebras, rings and their representations - proceedings of the international conference on algebras, modules and rings
ISBN: 9789812565983
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 9812565981
Обложка/Формат: Hardback
Страницы: 404
Вес: 0.722 кг.
Дата издания: 01/01/2006
Язык: English
Иллюстрации: Illustrations
Размер: 232 x 157 x 31
Читательская аудитория: Professional & Vocational
Рейтинг:
Поставляется из: Англии



Algebras, Graphs and their Applications

Автор: Cho, Ilwoo.
Название: Algebras, Graphs and their Applications
ISBN: 146659019X ISBN-13(EAN): 9781466590199
Издательство: Taylor&Francis
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Цена: 23375 р.
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Описание: This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory connected with discrete and combinatorial mathematical objects. It also covers tools and methods from a variety of mathematical areas, including algebra, operator theory, and combinatorics, and offers numerous applications of fractal theory, entropy theory, K-theory, and index theory.

Elements of Mathematics. Lie Groups and Lie Algebras / Chapters 4-6

Автор: Bourbaki Nicolas, Pressley A.
Название: Elements of Mathematics. Lie Groups and Lie Algebras / Chapters 4-6
ISBN: 3540426507 ISBN-13(EAN): 9783540426509
Издательство: Springer
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Цена: 11544 р.
Наличие на складе: Поставка под заказ.

Описание: From the reviews of the French edition: "This is a rich and useful volume. The material it treats has relevance well beyond the theory of Lie groups and algebras, ranging from the geometry of regular polytopes and paving problems to current work on finite simple groups having a (B,N)-pair structure, or "Tits systems". A historical note provides a survey of the contexts in which groups generated by reflections have arisen. A brief introduction includes almost the only other mention of Lie groups and algebras to be found in the volume. Thus the presentation here is really quite independent of Lie theory. The choice of such an approach makes for an elegant, self-contained treatment of some highly interesting mathematics, which can be read with profit and with relative ease by a very wide circle of readers (and with delight by many, if the reviewer is at all representative)."(G.B. Seligman in MathReviews)

Lie Algebras and Lie Groups / 1964 Lectures given at Harvard University

Автор: Serre Jean-Pierre
Название: Lie Algebras and Lie Groups / 1964 Lectures given at Harvard University
ISBN: 3540550089 ISBN-13(EAN): 9783540550082
Издательство: Springer
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Цена: 4037 р.
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Описание: This book reproduces J-P. Serre's 1964 Harvard lectures. The aim is to introduce the reader to the "Lie dictionary": Lie algebras and Lie groups. Special features of the presentation are its emphasis on formal groups (in the Lie group part) and the use of analytic manifolds on p-adic fields. Some knowledge of algebra and calculus is required of the reader, but the text is easily accessible to graduate students, and to mathematicians at large.

Operator Algebras and Quantum Statistical Mechanics 1 / C*- and W*-Algebras. Symmetry Groups. Decomposition of States

Автор: Bratteli Ola, Robinson Derek W.
Название: Operator Algebras and Quantum Statistical Mechanics 1 / C*- and W*-Algebras. Symmetry Groups. Decomposition of States
ISBN: 3540170936 ISBN-13(EAN): 9783540170938
Издательство: Springer
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Цена: 23099 р.
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Описание: This is the first of two volumes presenting the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications. The book is self-contained and most proofs are presented in detail, which makes it a useful text for students with a knowledge of basic functional analysis. The introductory chapter surveys the history and justification of algebraic techniques in statistical physics and outlines the applications that have been made.The second edition contains new and improved results. The principal changes include: A more comprehensive discussion of dissipative operators and analytic elements; the positive resolution of the question of whether maximal orthogonal probability measure on the state space of C-algebra were automatically maximal along all the probability measures on the space.

Quaternions, Clifford Algebras and Relativistic Physics

Автор: Girard
Название: Quaternions, Clifford Algebras and Relativistic Physics
ISBN: 3764377909 ISBN-13(EAN): 9783764377908
Издательство: Springer
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Цена: 5774 р.
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Описание: The use of Clifford algebras in mathematical physics and engineering has grown rapidly in recent years. Whereas other developments have privileged a geometric approach, the author uses an algebraic approach which can be introduced as a tensor product of quaternion algebras and provides a unified calculus for much of physics. The book proposes a pedagogical introduction to this new calculus, based on quaternions, with applications mainly in special relativity, classical electromagnetism and general relativity. The volume is intended for students, researchers and instructors in physics, applied mathematics and engineering interested in this new quaternionic Clifford calculus.

Local Multipliers of C*-Algebras

Автор: Ara Pere, Mathieu Martin
Название: Local Multipliers of C*-Algebras
ISBN: 1852332379 ISBN-13(EAN): 9781852332372
Издательство: Springer
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Цена: 11549 р.
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Описание: The theme of this book is operator theory on C*-algebras. The main novel tool employed is the concept of local multipliers. Originally devised by Elliott and Pedersen in the 1970's in order to study derivations and automorphisms, local multipliers of C*-algebras were developed into a powerful device by the present authors in the 1990's. The book serves two purposes. The first part provides the reader - specialist and advanced graduate student alike - with a thorough introduction to the theory of local multipliers. Only a minimal knowledge of algebra and analysis is required, as the prerequisites in both non-commutative ring theory and basic C*-algebra theory are presented in the first chapter. In the second part, local multipliers are used to obtain a wealth of information on various classes of operators on C*-algebras, including (groups of) automorphisms, derivations, elementary operators, Lie isomorphisms and Lie derivations, as well as others. Many of the results appear in print for the first time. The authors have made an effort to avoid intricate technicalities thus some of the results are not pushed to their utmost generality. Several open problems are discussed, and hints for further developments are given.

Information Algebras / Generic Structures for Inference

Автор: Kohlas JГјrg
Название: Information Algebras / Generic Structures for Inference
ISBN: 1852336897 ISBN-13(EAN): 9781852336899
Издательство: Springer
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Цена: 13859 р.
Наличие на складе: Поставка под заказ.

Описание: Information usually comes in pieces, from different sources. It refers to different, but related questions. Therefore information needs to be aggregated and focused onto the relevant questions. Considering combination and focusing of information as the relevant operations leads to a generic algebraic structure for information. This book introduces and studies information from this algebraic point of view. Algebras of information provide the necessary abstract framework for generic inference procedures. They allow the application of these procedures to a large variety of different formalisms for representing information. At the same time they permit a generic study of conditional independence, a property considered as fundamental for knowledge presentation. Information algebras provide a natural framework to define and study uncertain information. Uncertain information is represented by random variables that naturally form information algebras. This theory also relates to probabilistic assumption-based reasoning in information systems and is the basis for the belief functions in the Dempster-Shafer theory of evidence.

Elements of Mathematics / Lie Groups and Lie Algebras: Chapters 7-9

Автор: Bourbaki Nicolas, Pressley A.N.
Название: Elements of Mathematics / Lie Groups and Lie Algebras: Chapters 7-9
ISBN: 3540434054 ISBN-13(EAN): 9783540434054
Издательство: Springer
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Цена: 11544 р.
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Описание: This is the English translation of Bourbaki's text Groupes et AlgГЁbres de Lie, Chapters 7 to 9. It completes the previously published translations of Chapters 1 to 3 (3-540-64242-0) and 4 to 6 (3-540-42650-7) by covering the structure and representation theory of semi-simple Lie algebras and compact Lie groups. Chapter 7 deals with Cartan subalgebras of Lie algebras, regular elements and conjugacy theorems. Chapter 8 begins with the structure of split semi-simple Lie algebras and their root systems. It goes on to describe the finite-dimensional modules for such algebras, including the character formula of Hermann Weyl. It concludes with the theory of Chevalley orders. Chapter 9 is devoted to the theory of compact Lie groups, beginning with a discussion of their maximal tori, root systems and Weyl groups. It goes on to describe the representation theory of compact Lie groups, including the application of integration to establish Weyl's formula in this context. The chapter concludes with a discussion of the actions of compact Lie groups on manifolds. The nine chapters together form the most comprehensive text available on the theory of Lie groups and Lie algebras.

Yetter-Drinfel`d Hopf Algebras over Groups of Prime Order

Автор: SommerhГ¤user Yorck
Название: Yetter-Drinfel`d Hopf Algebras over Groups of Prime Order
ISBN: 3540437991 ISBN-13(EAN): 9783540437994
Издательство: Springer
Цена: 3459 р.
Наличие на складе: Поставка под заказ.

Описание: Being the first monograph devoted to this subject, the book addresses the classification problem for semisimple Hopf algebras, a field that has attracted considerable attention in the last years. The special approach to this problem taken here is via semidirect product decompositions into Yetter-Drinfel'd Hopf algebras and group rings of cyclic groups of prime order. One of the main features of the book is a complete treatment of the structure theory for such Yetter-Drinfel'd Hopf algebras.

Representations of Lie Algebras

Автор: Henderson
Название: Representations of Lie Algebras
ISBN: 1107653614 ISBN-13(EAN): 9781107653610
Издательство: Cambridge Academ
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Цена: 6298 р.
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Описание: This bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a basic familiarity with groups and rings), yet it reaches a major result in representation theory: the highest-weight classification of irreducible modules of the general linear Lie algebra. The author's exposition is focused on this goal rather than aiming at the widest generality and emphasis is placed on explicit calculations with bases and matrices. The book begins with a motivating chapter explaining the context and relevance of Lie algebras and their representations and concludes with a guide to further reading. Numerous examples and exercises with full solutions are included. Based on the author's own introductory course on Lie algebras, this book has been thoroughly road-tested by advanced undergraduate and beginning graduate students and it is also suited to individual readers wanting an introduction to this important area of mathematics.

Representations of *-Algebras, Locally Compact Groups, and Banach

Автор: J. M.G. Fell
Название: Representations of *-Algebras, Locally Compact Groups, and Banach
ISBN: 0122527216 ISBN-13(EAN): 9780122527210
Издательство: Elsevier Science
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Цена: 6347 р.
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Описание: This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowle

Lie Groups, Lie Algebras, and Their Representation

Автор: Varadarajan
Название: Lie Groups, Lie Algebras, and Their Representation
ISBN: 0387909699 ISBN-13(EAN): 9780387909691
Издательство: Springer
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Цена: 7733 р.
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Описание: This book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I revised the notes substantially. It is the revised version that is now appearing in book form. The theory of Lie groups plays a fundamental role in many areas of mathematics. There are a number of books on the subject currently available -most notably those of Chevalley, Jacobson, and Bourbaki-which present various aspects of the theory in great depth. However, 1 feei there is a need for a single book in English which develops both the algebraic and analytic aspects of the theory and which goes into the representation theory of semi simple Lie groups and Lie algebras in detail. This book is an attempt to fiii this need. It is my hope that this book will introduce the aspiring graduate student as well as the nonspecialist mathematician to the fundamental themes of the subject. I have made no attempt to discuss infinite-dimensional representations. This is a very active field, and a proper treatment of it would require another volume (if not more) of this size. However, the reader who wants to take up this theory will find that this book prepares him reasonably well for that task."


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