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Representations of *-Algebras, Locally Compact Groups, and Banach, J. M.G. Fell



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Автор: J. M.G. Fell
Название:  Representations of *-Algebras, Locally Compact Groups, and Banach
ISBN: 9780122527210
Издательство: Elsevier Science
Классификация:
ISBN-10: 0122527216
Обложка/Формат: Hardback
Страницы: 746
Вес: 1.21 кг.
Дата издания: 15.04.1988
Серия: Pure and applied mathematics
Язык: English
Иллюстрации: Black & white illustrations
Размер: 234 x 156 x 41
Читательская аудитория: Professional & vocational
Подзаголовок: Basic representation theory of groups and algebras
Ссылка на Издательство: Link
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Поставляется из: Англии



Symmetries, Lie Algebras and Representations

Автор: Fuchs/Schweigert
Название: Symmetries, Lie Algebras and Representations
ISBN: 0521541190 ISBN-13(EAN): 9780521541190
Издательство: Cambridge Academ
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Цена: 9859 р.
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Описание: 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 and Clebsch-Gordan coefficients, invariant tensors, subalgebras and branching rules, Young tableaux, spinors, Clifford algebras and supersymmetry, representations on function spaces, and Hopf algebras and representation rings. A detailed reference list is provided, and many exercises and examples throughout the book illustrate the use of Lie algebras in real physical problems. The text is written at a level accessible to graduate students, but will also provide a comprehensive reference for researchers.

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

Название: Algebras, rings and their representations - proceedings of the international conference on algebras, modules and rings
ISBN: 9812565981 ISBN-13(EAN): 9789812565983
Издательство: World Scientific Publishing
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Цена: 20406 р.
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Описание: Surveying the most influential developments in the field, this proceedings reviews the latest research on algebras and their representations, commutative and non-commutative rings, modules, conformal algebras, and torsion theories. The volume collects stimulating discussions from world-renowned names including Tsit-Yuen Lam, Larry Levy, Barbara Osofsky, and Patrick Smith.

Ultrametric banach algebras

Название: Ultrametric banach algebras
ISBN: 9812381945 ISBN-13(EAN): 9789812381941
Издательство: World Scientific Publishing
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Цена: 14517 р.
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Описание: In this volume, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebra, and circular filters which characterize absolute values on polynomials and make a nice tree structure. The Shilov boundary does exist for normed ultrametric algebras. The spectral norm is equal to the supremum of all continuous multiplicative seminorms whose kernel is a maximal ideal.

Two different such seminorms can have the same kernel. Krasner-Tate algebras are characterized among Krasner algebras, affinoid algebra, and ultrametric Banach algebras. Given a Krasner-Tate algbebra A=K{t}[x], the absolute values extending the Gauss norm from K{t} to A are defined by the elements of the Shilov boundary of A.

Several Complex Variables and Banach Algebras

Автор: Alexander
Название: Several Complex Variables and Banach Algebras
ISBN: 0387982531 ISBN-13(EAN): 9780387982533
Издательство: Springer
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Цена: 8541 р.
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Описание: Many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras. While function theory has often been employed to answer algebraic questions such as the existence of idempotents in a Banach algebra, concepts arising from the study of Banach algebras including the maximal ideal space, the Silov boundary, Geason parts, etc. have led to new questions and to new methods of proofs in function theory.

This book is concerned with developing some of the principal applications of function theory in several complex variables to Banach algebras. The authors do not presuppose any knowledge of several complex variables on the part o the reader and all relevant material is developed within the text. Furthermore, the book deals with problems of uniform approximation on compact subsets of the space of n complex variables.

The third edition of this book contains new material on; maximum modulus algebras and subharmonicity, the hull of a smooth curve, integral kernels, perturbations of the Stone-Weierstrass Theorem, boundaries of analytic varieties, polynomial hulls of sets over the circle, areas, and the topology of hulls. The authors have also included a new chapter containing commentaries on history and recent developments and an updated and expanded reading list.

Course in commutative banach algebras preliminary entry 246

Автор: Kaniuth, Eberhard
Название: Course in commutative banach algebras preliminary entry 246
ISBN: 0387724753 ISBN-13(EAN): 9780387724751
Издательство: Springer
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Цена: 8661 р.
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Описание: Introduces the theory of commutative Banach algebras. This book offers chapters on Gelfand`s theory, regularity and spectral synthesis. It emphasises on applications in abstract harmonic analysis and on treating many special classes of commutative Banach algebras, such as uniform algebras, group algebras and Beurling algebras, and tensor products.

Banach Algebras and the General Theory of *-Algebras

Автор: Palmer
Название: Banach Algebras and the General Theory of *-Algebras
ISBN: 0521124107 ISBN-13(EAN): 9780521124102
Издательство: Cambridge Academ
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Цена: 14380 р.
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Описание: 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.

Banach Algebras and the General Theory of *-Algebras 2 Part Set

Автор: Palmer
Название: Banach Algebras and the General Theory of *-Algebras 2 Part Set
ISBN: 0521152615 ISBN-13(EAN): 9780521152617
Издательство: Cambridge Academ
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Цена: 14106 р.
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Описание: This second of two volumes gives a modern exposition of the theory of Banach algebras.

Induced Representations of Locally Compact Groups

Автор: Kaniuth
Название: Induced Representations of Locally Compact Groups
ISBN: 052176226X ISBN-13(EAN): 9780521762267
Издательство: Cambridge Academ
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Цена: 11502 р.
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Описание: The dual space of a locally compact group G consists of the equivalence classes of irreducible unitary representations of G. This book provides a comprehensive guide to the theory of induced representations and explains its use in describing the dual spaces for important classes of groups. It introduces various induction constructions and proves the core theorems on induced representations, including the fundamental imprimitivity theorem of Mackey and Blattner. An extensive introduction to Mackey analysis is applied to compute dual spaces for a wide variety of examples. Fell's contributions to understanding the natural topology on the dual are also presented. In the final two chapters, the theory is applied in a variety of settings including topological Frobenius properties and continuous wavelet transforms. This book will be useful to graduate students seeking to enter the area as well as experts who need the theory of unitary group representations in their research.

Lie Groups, Lie Algebras, and Representations

Автор: Hall
Название: Lie Groups, Lie Algebras, and Representations
ISBN: 0387401229 ISBN-13(EAN): 9780387401225
Издательство: Springer
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Цена: 5423 р.
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Описание: This book addresses Lie groups, Lie algebras, and representation theory. In order to keep the prerequisites to a minimum, the author restricts attention to matrix Lie groups and Lie algebras. This approach keeps the discussion concrete, allows the reader to get to the heart of the subject quickly, and covers all of the most interesting examples. The book also introduces the often-intimidating machinery of roots and the Weyl group in a gradual way, using examples and representation theory as motivation. The text is divided into two parts. The first covers Lie groups and Lie algebras and the relationship between them, along with basic representation theory. The second part covers the theory of semisimple Lie groups and Lie algebras, beginning with a detailed analysis of the representations of SU(3). The author illustrates the general theory with numerous images pertaining to Lie algebras of rank two and rank three, including images of root systems, lattices of dominant integral weights, and weight diagrams. This book is sure to become a standard textbook for graduate students in mathematics and physics with little or no prior exposure to Lie theory. Brian Hall is an Associate Professor of Mathematics at the University of Notre Dame.

Representations of Finite-Dimensional Algebras

Автор: Gabriel
Название: Representations of Finite-Dimensional Algebras
ISBN: 3540629904 ISBN-13(EAN): 9783540629900
Издательство: Springer
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Цена: 13281 р.
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Описание: Attempts to take us up to the point where we can find our way in the original literature. This book presents some basic material and some insights of the theory. It includes proofs for statements which in the authors` opinions are elementary, those which help further understanding.

Representations of Hecke Algebras at Roots of Unity

Автор: Geck
Название: Representations of Hecke Algebras at Roots of Unity
ISBN: 0857297155 ISBN-13(EAN): 9780857297150
Издательство: Springer
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Цена: 12704 р.
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Описание: The modular representation theory of Iwahori-Hecke algebras and this theory's connection to groups of Lie type is an area of rapidly expanding interest; it is one that has also seen a number of breakthroughs in recent years. In classifying the irreducible representations of Iwahori-Hecke algebras at roots of unity, this book is a particularly valuable addition to current research in this field. Using the framework provided by the Kazhdan-Lusztig theory of cells, the authors develop an analogue of James' (1970) characteristic-free'' approach to the representation theory of Iwahori-Hecke algebras in general. Presenting a systematic and unified treatment of representations of Hecke algebras at roots of unity, this book is unique in its approach and includes new results that have not yet been published in book form. It also serves as background reading to further active areas of current research such as the theory of affine Hecke algebras and Cherednik algebras. The main results of this book are obtained by an interaction of several branches of mathematics, namely the theory of Fock spaces for quantum affine Lie algebras and Ariki's theorem, the combinatorics of crystal bases, the theory of Kazhdan-Lusztig bases and cells, and computational methods. This book will be of use to researchers and graduate students in representation theory as well as any researchers outside of the field with an interest in Hecke 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.


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