Exterior Algebras, Pavan, Vincent

Автор: Gene Abrams; Pere Ara; Mercedes Siles Molina
Название: Leavitt Path Algebras
ISBN: 1447173430 ISBN-13(EAN): 9781447173434
Издательство: Springer
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Цена: 51230.00 T
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Описание: This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume.
Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as well as researchers working in graph C*-algebras, group theory and symbolic dynamics attracted to the topic. Providing a historical perspective on the subject, the authors review existing arguments, establish new results, and outline the major themes and ring-theoretic concepts, such as the ideal structure, Z-grading and the close link between Leavitt path algebras and graph C*-algebras. The book also presents key lines of current research, including the Algebraic Kirchberg Phillips Question, various additional classification questions, and connections to noncommutative algebraic geometry.
Leavitt Path Algebras will appeal to graduate students and researchers working in the field and related areas, such as C*-algebras and symbolic dynamics. With its descriptive writing style, this book is highly accessible.

Автор: Steven Givant
Название: Duality Theories for Boolean Algebras with Operators
ISBN: 3319067427 ISBN-13(EAN): 9783319067421
Издательство: Springer
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Цена: 93160.00 T
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Описание: In this new text, Steven Givant-the author of several acclaimed books, including works co-authored with Paul Halmos and Alfred Tarski-develops three theories of duality for Boolean algebras with operators.

Автор: K. Schm?dgen
Название: Unbounded Operator Algebras and Representation Theory
ISBN: 3034874715 ISBN-13(EAN): 9783034874717
Издательство: Springer
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Цена: 74490.00 T
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Описание: *-algebras of unbounded operators in Hilbert space, or more generally algebraic systems of unbounded operators, occur in a natural way in unitary representation theory of Lie groups and in the Wightman formulation of quantum field theory.

Автор: N. Krupnik
Название: Banach Algebras with Symbol and Singular Integral Operators
ISBN: 303485465X ISBN-13(EAN): 9783034854658
Издательство: Springer
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Цена: 74530.00 T
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Описание: Using this the- ory, criteria were obtained for Fredholmness of one-dimensional singular integral operators with continuous coefficients [34 (42)], Wiener-Hopf operators [37], and multidimensional singular integral operators [38 (2)].

Автор: Meinrenken, Eckhard
Название: Clifford algebras and lie theory
ISBN: 3642544665 ISBN-13(EAN): 9783642544668
Издательство: Springer
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Цена: 69870.00 T
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Описание: This book covers the basics of Clifford algebras and spinor modules, with applications to the theory of Lie groups. Topics include Petracci`s proof of the Poincare-Birkhoff-Witt theorem, quantized Weil algebras, Duflo`s theorem for quadratic Lie algebras and more.

Автор: Stormer, Erling
Название: Positive linear maps of operator algebras
ISBN: 3642343686 ISBN-13(EAN): 9783642343681
Издательство: Springer
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Цена: 107130.00 T
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Описание: This book covers the properties and structure of positive linear maps of operator algebras into the bounded operators on Hilbert space.

Автор: Underwood Robert
Название: Fundamentals of Hopf Algebras
ISBN: 3319189905 ISBN-13(EAN): 9783319189901
Издательство: Springer
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Цена: 46570.00 T
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Описание: This text aims to provide graduate students with a self-contained introduction to topics that are at the forefront of modern algebra, namely, coalgebras, bialgebras and Hopf algebras. Chapter 3 discusses Hopf algebras and Chapter 4 consists of three applications of Hopf algebras.

Автор: Barot Michael
Название: Introduction to the Representation Theory of Algebras
ISBN: 3319114743 ISBN-13(EAN): 9783319114743
Издательство: Springer
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Цена: 37260.00 T
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Описание: and (iii) deeper theorems such as Gabriel`s Theorem, the trichotomy and the Theorem of Kac - all accompanied by further examples.Each section includes exercises to facilitate understanding.

Название: Deformation theory of algebras and structures and applications
ISBN: 9401078750 ISBN-13(EAN): 9789401078757
Издательство: Springer
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Цена: 241310.00 T
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Описание: Proceedings of the NATO Advanced Study Institute, Il Ciocci, Casterecchio Pascoli, Tuscan, June 1-14, 1986

Автор: Kac Victor G Et Al
Название: Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras (2Nd Edition)
ISBN: 981452218X ISBN-13(EAN): 9789814522182
Издательство: World Scientific Publishing
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Цена: 85530.00 T
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Описание: The first edition of this book is a collection of a series of lectures given by Professor Victor Kac at the TIFR, Mumbai, India in December 1985 and January 1986. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.The first is the canonical commutation relations of the infinite dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gℓ∞ of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kashiwara and Miwa. The third is the unitary highest weight representations of the current (= affine Kac-Moody) algebras. These Lie algebras appear in the lectures in connection to the Sugawara construction, which is the main tool in the study of the fourth incarnation of the main idea, the theory of the highest weight representations of the Virasoro algebra. In particular, the book provides a complete proof of the Kac determinant formula, the key result in representation theory of the Virasoro algebra.The second edition of this book incorporates, as its first part, the largely unchanged text of the first edition, while its second part is the collection of lectures on vertex algebras, delivered by Professor Kac at the TIFR in January 2003. The basic idea of these lectures was to demonstrate how the key notions of the theory of vertex algebras -- such as quantum fields, their normal ordered product and lambda-bracket, energy-momentum field and conformal weight, untwisted and twisted representations -- simplify and clarify the constructions of the first edition of the book.This book should be very useful for both mathematicians and physicists. To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite dimensional Lie algebras and of the theory of vertex algebras; and to physicists, these theories are turning into an important component of such domains of theoretical physics as soliton theory, conformal field theory, the theory of two-dimensional statistical models, and string theory.

Автор: Kac Victor G Et Al
Название: Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras (2Nd Edition)
ISBN: 9814522198 ISBN-13(EAN): 9789814522199
Издательство: World Scientific Publishing
Рейтинг:
Цена: 33790.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first edition of this book is a collection of a series of lectures given by Professor Victor Kac at the TIFR, Mumbai, India in December 1985 and January 1986. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.The first is the canonical commutation relations of the infinite dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gℓ∞ of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kashiwara and Miwa. The third is the unitary highest weight representations of the current (= affine Kac-Moody) algebras. These Lie algebras appear in the lectures in connection to the Sugawara construction, which is the main tool in the study of the fourth incarnation of the main idea, the theory of the highest weight representations of the Virasoro algebra. In particular, the book provides a complete proof of the Kac determinant formula, the key result in representation theory of the Virasoro algebra.The second edition of this book incorporates, as its first part, the largely unchanged text of the first edition, while its second part is the collection of lectures on vertex algebras, delivered by Professor Kac at the TIFR in January 2003. The basic idea of these lectures was to demonstrate how the key notions of the theory of vertex algebras -- such as quantum fields, their normal ordered product and lambda-bracket, energy-momentum field and conformal weight, untwisted and twisted representations -- simplify and clarify the constructions of the first edition of the book.This book should be very useful for both mathematicians and physicists. To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite dimensional Lie algebras and of the theory of vertex algebras; and to physicists, these theories are turning into an important component of such domains of theoretical physics as soliton theory, conformal field theory, the theory of two-dimensional statistical models, and string theory.

Автор: Radford David E
Название: Hopf Algebras
ISBN: 9814335991 ISBN-13(EAN): 9789814335997
Издательство: World Scientific Publishing
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Цена: 195360.00 T
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Описание: Provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. This title is intended to be a graduate text as well as a research monograph.