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Elements of the Representation Theory of Associative Algebras, Simson



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Автор: Simson
Название:  Elements of the Representation Theory of Associative Algebras
ISBN: 9780521882187
Издательство: Cambridge Academ
Классификация:
ISBN-10: 0521882184
Обложка/Формат: Hardback
Страницы: 464
Вес: 0.78 кг.
Дата издания: 11.10.2007
Серия: London mathematical society student texts
Язык: English
Иллюстрации: 19 line figures 46 exercises 37 worked example
Размер: 233 x 151 x 28
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Англии
Дополнительное описание: Introduction; 15. Tubular extensions and tubular coextensions; 16. Branch algebras; 17. Tilted algebras of Euclidean type; 18. Wild hereditary algebras and tilted algebras of wild type; 19. Tame and wild representation type of algebras; 20. Perspectives;




Elements of the Representation Theory of Associative Algebras

Автор: Daniel Simson
Название: Elements of the Representation Theory of Associative Algebras
ISBN: 0521836107 ISBN-13(EAN): 9780521836104
Издательство: Cambridge Academ
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Цена: 13694 р.
Наличие на складе: Поставка под заказ.

Описание: The second of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers, geometry of tubes of indecomposable modules, and homological algebra. This volume provides an up-to-date introduction to the representation theory of the representation-infinite hereditary algebras of Euclidean type, as well as to concealed algebras of Euclidean type. The book is primarily addressed to a graduate student starting research in the representation theory of algebras, but it will also be of interest to mathematicians in other fields. The text includes many illustrative examples and a large number of exercises at the end of each of the chapters. Proofs are presented in complete detail, making the book suitable for courses, seminars, and self-study.

Elements of the Representation Theory of Associative Algebras

Автор: Assem
Название: Elements of the Representation Theory of Associative Algebras
ISBN: 052158423X ISBN-13(EAN): 9780521584234
Издательство: Cambridge Academ
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Цена: 17940 р.
Наличие на складе: Поставка под заказ.

Описание: Provides an elementary but up-to-date introduction to the representation theory of algebras.

Associative Digital Network Theory

Автор: Nico F. Benschop
Название: Associative Digital Network Theory
ISBN: 1402098286 ISBN-13(EAN): 9781402098284
Издательство: Springer
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Цена: 10389 р.
Наличие на складе: Поставка под заказ.

Описание: Suitable for researchers at industrial laboratories, teachers and students at technical universities, in electrical engineering, computer science and applied mathematics departments, interested in developments of modeling and designing digital networks in general, this title introduces essential concepts of associative digital network theory.

Introduction to Lie Algebras and Representation Theory

Автор: Humphreys
Название: Introduction to Lie Algebras and Representation Theory
ISBN: 0387900535 ISBN-13(EAN): 9780387900537
Издательство: Springer
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Цена: 6116 р.
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Описание: Introduces the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. Here, a good knowledge of linear algebra is presupposed, as well as some acquaintance with the methods of abstract algebra.

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.

Elements of the Representation Theory of Associative Algebras

Автор: Ibrahim Assem
Название: Elements of the Representation Theory of Associative Algebras
ISBN: 0521586313 ISBN-13(EAN): 9780521586313
Издательство: Cambridge Academ
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Цена: 5751 р.
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Описание: This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained treatment constitutes an elementary, up-to-date introduction to the subject using, on the one hand, quiver-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this work suitable both for courses and seminars, and for self-study. The volume will be of great interest to graduate students beginning research in the representation theory of algebras and to mathematicians from other fields.

Elements of the Representation Theory of Associative Algebras

Автор: Daniel Simson
Название: Elements of the Representation Theory of Associative Algebras
ISBN: 0521708761 ISBN-13(EAN): 9780521708760
Издательство: Cambridge Academ
Рейтинг:
Цена: 7805 р.
Наличие на складе: Поставка под заказ.

Описание: The final part of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers and homological algebra. This volume provides an introduction to the representation theory of representation-infinite tilted algebras from the point of view of the time-wild dichotomy. Also included is a collection of selected results relating to the material discussed in all three volumes. The book is primarily addressed to a graduate student starting research in the representation theory of algebras, but will also be of interest to mathematicians in other fields. Proofs are presented in complete detail, and the text includes many illustrative examples and a large number of exercises at the end of each chapter, making the book suitable for courses, seminars, and self-study.

Non-Associative Normed Algebras

Автор: Cabrera Garc?a
Название: Non-Associative Normed Algebras
ISBN: 1107043069 ISBN-13(EAN): 9781107043060
Издательство: Cambridge Academ
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Цена: 20816 р.
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Описание: This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography.

Non-Associative and Non-Commutative Algebra and Operator Theory

Автор: Gueye
Название: Non-Associative and Non-Commutative Algebra and Operator Theory
ISBN: 3319329006 ISBN-13(EAN): 9783319329000
Издательство: Springer
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Цена: 15014 р.
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Описание: Presenting the collaborations of over thirtyinternational experts in the latest developments in pure andapplied mathematics, this volume serves as an anthology of research with acommon basis in algebra, functional analysis and their applications.Special attention is devoted to non-commutative algebras, non-associativealgebras, operator theory and ring and module theory. These themes arerelevant in research and development in coding theory, cryptography and quantummechanics. The topics in this volume were presented at the Workshop on Non-Associative& Non-Commutative Algebra and Operator Theory, held May23—25, 2014 at Cheikh Anta Diop University in Dakar, Senegal in honorof Professor Amin Kaidi. The workshop was hosted by theuniversity's Laboratory of Algebra,Cryptology, Algebraic Geometry and Applications, in cooperation withthe University of Almer?a and the University of M?laga. Dr.Kaidi's work focuses on non-associative rings and algebras, operator theory andfunctional analysis, and he has served as a mentor to a generation ofmathematicians in Senegal and around the world.

Schur Algebras and Representation Theory

Автор: Martin
Название: Schur Algebras and Representation Theory
ISBN: 0521100461 ISBN-13(EAN): 9780521100465
Издательство: Cambridge Academ
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Цена: 6298 р.
Наличие на складе: Поставка под заказ.

Описание: This is the first comprehensive text in this important and active area of research.

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."

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
Рейтинг:
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)


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