Representations of Algebras, Graham J. Leuschke, Frauke Bleher, Ralf Schiffler, Dan Zacharia
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: 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 Рейтинг: Цена: 85530.00 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: Aslak Bakke Buan; Idun Reiten; ?yvind Solberg Название: Algebras, Quivers and Representations ISBN: 364243018X ISBN-13(EAN): 9783642430183 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book features survey and research papers from The Abel Symposium 2011. It illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systems and triangulated categories.
Автор: M. Auslander; E. Lluis Название: Representations of Algebras ISBN: 3540111794 ISBN-13(EAN): 9783540111795 Издательство: Springer Рейтинг: Цена: 32560.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: M. Auslander; E. Lluis Название: Representations of Algebras ISBN: 3540115773 ISBN-13(EAN): 9783540115779 Издательство: Springer Рейтинг: Цена: 32560.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Peter Gabriel; B. Keller; A.I. Kostrikin; Andrei V Название: Representations of Finite-Dimensional Algebras ISBN: 3540537325 ISBN-13(EAN): 9783540537328 Издательство: Springer Рейтинг: Цена: 125730.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Aims to offer an outline of the results on representations of finite-dimensional algebras. This monograph provides examples and the background on decomposition theorems, quivers, almost split sequences and derived categories. It includes a survey on representations of tame and wild quivers, lists of critical algebras, and more.
Автор: Torben T. Nielsen Название: Bose Algebras: The Complex and Real Wave Representations ISBN: 3540540415 ISBN-13(EAN): 9783540540410 Издательство: Springer Рейтинг: Цена: 23250.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The mathematics of Bose-Fock spaces is built on the notion of a commutative algebra. This book is suitable for mathematicians interested in analysis in infinitely many dimensions or in the mathematics of quantum fields and to theoretical physicists who can profit from the use of an effective and rigorous Bose formalism.
Автор: Nanhua Xi Название: Representations of Affine Hecke Algebras ISBN: 3540583890 ISBN-13(EAN): 9783540583899 Издательство: Springer Рейтинг: Цена: 23250.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: These lecture notes show that the classification of simple Hq-modules is essentially different from general cases when q is a root of 1 of certain orders. The based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras.
Автор: Aslak Bakke Buan; Idun Reiten; ?yvind Solberg Название: Algebras, Quivers and Representations ISBN: 3642394841 ISBN-13(EAN): 9783642394843 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book features survey and research papers from The Abel Symposium 2011. It illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systems and triangulated categories.
Автор: Naihuan Jing, Kailash C. Misra Название: Representations of Lie Algebras, Quantum Groups and Related Topics ISBN: 1470436965 ISBN-13(EAN): 9781470436964 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 116430.00 T Наличие на складе: Невозможна поставка. Описание: Contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held in November 2016. The articles cover various aspects of representations of Kac-Moody Lie algebras and their applications, structure of Leibniz algebras and Krichever-Novikov algebras, and related topics.
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