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Representations of Finite-Dimensional Algebras, Gabriel



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Автор: Gabriel
Название:  Representations of Finite-Dimensional Algebras
ISBN: 9783540629900
Издательство: Springer
Классификация:
ISBN-10: 3540629904
Обложка/Формат: Paperback
Страницы: 183
Вес: 0.59 кг.
Дата издания: 12.09.1997
Серия: Encyclopaedia of mathematical sciences
Язык: English
Издание: Softcover reprint of
Иллюстрации: 98 black & white illustrations
Размер: 23.62 x 15.60 x 1.09
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
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Поставляется из: Германии



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.
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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.

Theory of Operator Algebras III

Автор: Takesaki Masamichi
Название: Theory of Operator Algebras III
ISBN: 3540429131 ISBN-13(EAN): 9783540429135
Издательство: Springer
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Цена: 16169 р.
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Описание: Together with "Theory of Operator Algebras I, II" (EMS 124 and 125), this book, written by one of the most prominent researchers in the field of operator algebras, presents the theory of von Neumann algebras and non-commutative integration focusing on the group of automorphisms and the structure analysis. It is is part of the recently developed part of the "Encyclopaedia of Mathematical Sciences" on operator algebras and non-commutative geometry (see http://www.springer.de/math/ems/index.html). The book provides essential and comprehensive information for graduate students and researchers in mathematics and mathematical physics.

Classification of Nuclear C*-Algebras. Entropy in Operator Algebras

Автор: Rordam M., Stormer E.
Название: Classification of Nuclear C*-Algebras. Entropy in Operator Algebras
ISBN: 3540423052 ISBN-13(EAN): 9783540423058
Издательство: Springer
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Цена: 16169 р.
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Описание: This EMS volume consists of two parts, written by leading scientists in the field of operator algebras and non-commutative geometry. The first part, written by M.Rordam, is on Elliott's classification program for nuclear C*-algebras. The emphasis is on the work of Kirchberg and the spectacular results by Kirchberg and Phillips giving a nearly complete classification, in terms of K-theoretic invariants, in the purely infinite case. This part of the program is described with almost full proofs beginning with Kirchberg's tensor product theorems and Kirchberg's embedding theorem for exact C*-algebras. The classification of finite simple C*-algebras starting with AF-algebras, and continuing with AT- and AH-algebras is covered, but mostly without proofs. The second part, written by E.Stormer, is a survey of the theory of of noncommutative entropy of automorphisms of C*-algebras and von Neumann algebras from its initiation by Connes and Stormer in 1975 till 2001.

Finite-Dimensional Division Algebras over Fields

Автор: Jacobson
Название: Finite-Dimensional Division Algebras over Fields
ISBN: 3540570292 ISBN-13(EAN): 9783540570295
Издательство: Springer
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Цена: 9812 р.
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Описание: Finite-dimensional division algebras over fields determine, by the Wedderburn Theorem, the semi-simple finite-dimensional algebras over a field. This text concentrates on those algebras that have an involution. It includes coverage of involutorial simple algebras of finite dimension over a field.

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.

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.

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 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.

Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras

Автор: Letellier Emmanuel
Название: Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras
ISBN: 3540240209 ISBN-13(EAN): 9783540240204
Издательство: Springer
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Цена: 4037 р.
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Описание: The Fourier transforms of invariant functions on finite reductive Lie algebras are due to T.A. Springer (1976) in connection with the geometry of nilpotent orbits. In this book the author studies Fourier transforms using Deligne-Lusztig induction and the Lie algebra version of Lusztig’s character sheaves theory. He conjectures a commutation formula between Deligne-Lusztig induction and Fourier transforms that he proves in many cases. As an application the computation of the values of the trigonometric sums (on reductive Lie algebras) is shown to reduce to the computation of the generalized Green functions and to the computation of some fourth roots of unity.

Function Algebras on Finite Sets / Basic Course on Many-Valued Logic and Clone Theory

Автор: Lau Dietlinde
Название: Function Algebras on Finite Sets / Basic Course on Many-Valued Logic and Clone Theory
ISBN: 3540360220 ISBN-13(EAN): 9783540360223
Издательство: Springer
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Цена: 15014 р.
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Описание: Functions which are defined on finite sets occur in almost all fields of mathematics. For more than 80 years algebras whose universes are such functions (so-called function algebras), have been intensively studied.This book is an insdispensible source on function algebras for graduate students and researchers in mathematical logic and theoretical computer science.


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