Galois and Cleft Monoidal Cowreaths. Applications, B. Torrecillas, D. Bulacu
Автор: Lopez, Jose Escoriza Название: Multiplication objects in monoidal categories ISBN: 156072823X ISBN-13(EAN): 9781560728238 Издательство: Nova Science Рейтинг: Цена: 16155.00 р. Наличие на складе: Невозможна поставка.
Описание: Multiplication modules are framed inside commutative algebra, which is a basis for number theory and algebraic geometry. This book aims to study the concept of multiplication objects from a categorical point of view in the setting of monoidal categories which are responsible for the narrow relationship between quantum groups and knot theory.
Автор: Donald Yau Название: Infinity Operads and Monoidal Categories with Group Equivariance ISBN: 9811250928 ISBN-13(EAN): 9789811250927 Издательство: World Scientific Publishing Рейтинг: Цена: 34508.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph provides a coherent development of operads, infinity operads, and monoidal categories, equipped with equivariant structures encoded by an action operad. A group operad is a planar operad with an action operad equivariant structure. In the first three parts of this monograph, we establish a foundation for group operads and for their higher coherent analogues called infinity group operads. Examples include planar, symmetric, braided, ribbon, and cactus operads, and their infinity analogues. For example, with the tools developed here, we observe that the coherent ribbon nerve of the universal cover of the framed little 2-disc operad is an infinity ribbon operad.In Part 4 we define general monoidal categories equipped with an action operad equivariant structure and provide a unifying treatment of coherence and strictification for them. Examples of such monoidal categories include symmetric, braided, ribbon, and coboundary monoidal categories, which naturally arise in the representation theory of quantum groups and of coboundary Hopf algebras and in the theory of crystals of finite dimensional complex reductive Lie algebras.
Автор: Vladimir Turaev; Alexis Virelizier Название: Monoidal Categories and Topological Field Theory ISBN: 3319498339 ISBN-13(EAN): 9783319498331 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This monograph is devoted to monoidal categories and their connections with 3-dimensional topological field theories. Starting with basic definitions, it proceeds to the forefront of current research.
Part 1 introduces monoidal categories and several of their classes, including rigid, pivotal, spherical, fusion, braided, and modular categories. It then presents deep theorems of M ger on the center of a pivotal fusion category. These theorems are proved in Part 2 using the theory of Hopf monads. In Part 3 the authors define the notion of a topological quantum field theory (TQFT) and construct a Turaev-Viro-type 3-dimensional state sum TQFT from a spherical fusion category. Lastly, in Part 4 this construction is extended to 3-manifolds with colored ribbon graphs, yielding a so-called graph TQFT (and, consequently, a 3-2-1 extended TQFT). The authors then prove the main result of the monograph: the state sum graph TQFT derived from any spherical fusion category is isomorphic to the Reshetikhin-Turaev surgery graph TQFT derived from the center of that category.
The book is of interest to researchers and students studying topological field theory, monoidal categories, Hopf algebras and Hopf monads.
Описание: A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations and it also includes a chapter on cryptography. End of chapter problems help readers with accessing the subjects.
Описание: Chapter 1. Vector Space.- Chapter 2. Matrices and Linear Equations.- Chapter 3. Linear Transformations.- Chapter 4. Inner Product Space.- Chapter 5. Determinants and Forms.- Chapter 6. Canonical Forms, Jordan and Rational Forms.- Chapter 7. General Linear Algebra.- Chapter 8. Field Theory, Galois Theory.- Chapter 9. Representation Theory of Finite Groups.- Chapter 10.Group Extensions and Schur Multiplier.
Автор: Cornelius Greither Название: Cyclic Galois Extensions of Commutative Rings ISBN: 3540563504 ISBN-13(EAN): 9783540563501 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This exposition is aimed at readers with some background in either commutative algebra or algebraic number theory. Emphasis is placed on the notion of a normal basis, which allows researchers to view Leopoldt`s conjecture on number theory from a new angle.
Автор: Askold Khovanskii; Vladlen Timorin; Valentina Kiri Название: Topological Galois Theory ISBN: 3642388701 ISBN-13(EAN): 9783642388705 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book describes classic and new results on solvability and unsolvability of equations in explicit form, presenting the author`s complete exposition of topological Galois theory, plus basics of the Picard-Vessiot theory and a great deal more.
Автор: Escofier Jean-Pierre, Schneps L. Название: Galois Theory ISBN: 0387987657 ISBN-13(EAN): 9780387987651 Издательство: Springer Цена: 11878.00 р. Наличие на складе: Нет в наличии.
Описание: This book presents the fundamentals of Galois Theory, including a set of copious, well-chosen exercises that form an important part of the presentation. The pace is gentle and incorporates interesting historical material, including aspects on the life of Galois. Computed examples, recent developments, and extensions of results into other related areas round out the presentation.
Автор: Wan Zhe-Xian Название: Finite Fields And Galois Rings ISBN: 981436634X ISBN-13(EAN): 9789814366342 Издательство: World Scientific Publishing Рейтинг: Цена: 10296.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Suitable for graduate and upper level undergraduate students in mathematics, communication engineering, computer science and other fields as well as for specialists, this book emphasizes explicit construction and computation of finite fields. It includes the construction of irreducible polynomials and normal basis of finite field.
Автор: Askold Khovanskii; Vladlen Timorin; Valentina Kiri Название: Topological Galois Theory ISBN: 3662506025 ISBN-13(EAN): 9783662506028 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book describes classic and new results on solvability and unsolvability of equations in explicit form, presenting the author`s complete exposition of topological Galois theory, plus basics of the Picard-Vessiot theory and a great deal more.
Автор: Garling, D. J. H. (university Of Cambridge) Название: Galois theory, and its algebraic background ISBN: 1108969089 ISBN-13(EAN): 9781108969086 Издательство: Cambridge Academ Рейтинг: Цена: 5542.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Galois Theory is the theory of polynomial equations and their solutions. Suitable for course-following undergraduates and the independent reader, this textbook gives a full account of Galois Theory and the necessary background algebra. This second edition has been revised and re-ordered, with new exercises and examples throughout.
Автор: Ayad, Mohamed (univ Du Littoral, Calais, France) Название: Galois theory and applications: solved exercises and problems ISBN: 9813238305 ISBN-13(EAN): 9789813238305 Издательство: World Scientific Publishing Рейтинг: Цена: 17424.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'Ayad (TM)s aim was to create a collection of problems and exercises related to Galois Theory. In this Ayad was certainly successful. Galois Theory and Applications contains almost 450 pages of problems and their solutions. These problems range from the routine and concrete to the very abstract. Many are quite challenging. Some of the problems provide accessible presentations of material not normally seen in a first course on Galois Theory. For example, the chapter 'Galois extensions, Galois groups' begins with a wonderful problem on formally real fields that I plan on assigning to my students this fall.'MAA ReviewsThe book provides exercises and problems with solutions in Galois Theory and its applications, which include finite fields, permutation polynomials, derivations and algebraic number theory.It will be useful to the audience below:
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