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Sugawara Operators for Classical Lie Algebras, Alexander Molev


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Цена: 107850.00T
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Автор: Alexander Molev
Название:  Sugawara Operators for Classical Lie Algebras
ISBN: 9781470436599
Издательство: Mare Nostrum (Eurospan)
Классификация:


ISBN-10: 1470436590
Обложка/Формат: Hardback
Страницы: 305
Вес: 0.00 кг.
Дата издания: 28.02.2018
Серия: Mathematical surveys and monographs
Язык: English
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Algebra,Algebraic geometry
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Поставляется из: Англии
Описание: The celebrated Schur-Weyl duality gives rise to effective ways of constructing invariant polynomials on the classical Lie algebras. The emergence of the theory of quantum groups in the 1980s brought up special matrix techniques which allowed one to extend these constructions beyond polynomial invariants and produce new families of Casimir elements for finite-dimensional Lie algebras. Sugawara operators are analogs of Casimir elements for the affine Kac-Moody algebras.The goal of this book is to describe algebraic structures associated with the affine Lie algebras, including affine vertex algebras, Yangians, and classical $\mathcal{W}$-algebras, which have numerous ties with many areas of mathematics and mathematical physics, including modular forms, conformal field theory, and soliton equations. An affine version of the matrix technique is developed and used to explain the elegant constructions of Sugawara operators, which appeared in the last decade. An affine analogue of the Harish-Chandra isomorphism connects the Sugawara operators with the classical $\mathcal{W}$-algebras, which play the role of the Weyl group invariants in the finite-dimensional theory.
Дополнительное описание: Algebra|Algebraic geometry


Автор: Perelomov A. M.
Название: Integrable Systems of Classical Mechanics and Lie Algebras Volume I
ISBN: 3764323361 ISBN-13(EAN): 9783764323363
Издательство: Springer
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Цена: 69870.00 T
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Описание: The investigation of integrable systems was an important line of study. Remarkable progress has been made in this field via the so-called isospectral deformation method which makes extensive use of group-theoretical concepts. This book focuses on the development and applications of this method.

Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations

Автор: I.S. Krasil`shchik; P.H. Kersten
Название: Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations
ISBN: 0792363159 ISBN-13(EAN): 9780792363156
Издательство: Springer
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Цена: 102480.00 T
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Описание: This is a detailed exposition of algebraic and geometrical aspects related to the theory of symmetries and recursion operators for nonlinear partial differential equations (PDE), both in classical and in super, or graded, versions.

Tomita-Takesaki Theory in Algebras of Unbounded Operators

Автор: Atsushi Inoue
Название: Tomita-Takesaki Theory in Algebras of Unbounded Operators
ISBN: 3540651942 ISBN-13(EAN): 9783540651949
Издательство: Springer
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Цена: 41920.00 T
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Banach Algebras with Symbol and Singular Integral Operators

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)].

Duality Theories for Boolean Algebras with Operators

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.

Duality Theories for Boolean Algebras with Operators

Автор: Steven Givant
Название: Duality Theories for Boolean Algebras with Operators
ISBN: 3319350269 ISBN-13(EAN): 9783319350264
Издательство: Springer
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Цена: 79190.00 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.

Meanders: Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation

Автор: Karnauhova, Anna.
Название: Meanders: Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation
ISBN: 311053147X ISBN-13(EAN): 9783110531473
Издательство: Walter de Gruyter
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Цена: 123910.00 T
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Описание:

This unique book's subject is meanders (connected, oriented, non-self-intersecting planar curves intersecting the horizontal line transversely) in the context of dynamical systems. By interpreting the transverse intersection points as vertices and the arches arising from these curves as directed edges, meanders are introduced from the graphtheoretical perspective. Supplementing the rigorous results, mathematical methods, constructions, and examples of meanders with a large number of insightful figures, issues such as connectivity and the number of connected components of meanders are studied in detail with the aid of collapse and multiple collapse, forks, and chambers. Moreover, the author introduces a large class of Morse meanders by utilizing the right and left one-shift maps, and presents connections to Sturm global attractors, seaweed and Frobenius Lie algebras, and the classical Yang-Baxter equation.

Contents

Seaweed Meanders

Meanders

Morse Meanders and Sturm Global Attractors

Right and Left One-Shifts

Connection Graphs of Type I, II, III and IV

Meanders and the Temperley-Lieb Algebra

Representations of Seaweed Lie Algebras

CYBE and Seaweed Meanders


Lie Algebras of Bounded Operators

Автор: Daniel Beltita; Mihai Sabac
Название: Lie Algebras of Bounded Operators
ISBN: 3034895208 ISBN-13(EAN): 9783034895200
Издательство: Springer
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Цена: 46570.00 T
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Описание: In several proofs from the theory of finite-dimensional Lie algebras, an essential contribution comes from the Jordan canonical structure of linear maps acting on finite-dimensional vector spaces. On the other hand, there exist classical results concerning Lie algebras which advise us to use infinite-dimensional vector spaces as well.


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