Compact matrix quantum groups and their combinatorics, Freslon, Amaury (universite Paris-saclay)
Автор: Baker, Andrew Название: Matrix Groups ISBN: 1852334703 ISBN-13(EAN): 9781852334703 Издательство: Springer Рейтинг: Цена: 32600.00 T Наличие на складе: Поставка под заказ. Описание: Aimed at advanced undergraduate and beginning graduate students, this book provides a first taste of the theory of Lie groups as an appetiser for a more substantial further course. Lie theoretic ideas lie at the heart of much of standard undergraduate linear algebra and exposure to them can inform or motivate the study of the latter.The main focus is on matrix groups, i.e., closed subgroups of real and complex general linear groups. The first part studies examples and describes the classical families of simply connected compact groups. The second part introduces the idea of a lie group and studies the associated notion of a homogeneous space using orbits of smooth actions.Throughout, the emphasis is on providing an approach that is accessible to readers equipped with a standard undergraduate toolkit of algebra and analysis. Although the formal prerequisites are kept as low level as possible, the subject matter is sophisticated and contains many of the key themes of the fully developed theory, preparing students for a more standard and abstract course in Lie theory and differential geometry.
Автор: Mark R. Sepanski Название: Compact Lie Groups ISBN: 1441921389 ISBN-13(EAN): 9781441921383 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups. Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups. Included is the construction of the Spin groups, Schur Orthogonality, the Peter-Weyl Theorem, the Plancherel Theorem, the Maximal Torus Theorem, the Commutator Theorem, the Weyl Integration and Character Formulas, the Highest Weight Classification, and the Borel-Weil Theorem. The necessary Lie algebra theory is also developed in the text with a streamlined approach focusing on linear Lie groups.
Key Features are: - Provides an approach that minimizes advanced prerequisites; - Self-contained and systematic exposition requiring no previous exposure to Lie theory; -Advances quickly to the Peter-Weyl Theorem and its corresponding Fourier theory; - Streamlined Lie algebra discussion reduces the differential geometry prerequisite and allows a more rapid transition to the classification and construction of representations - Exercises sprinkled throughout.
This beginning graduate level text, aimed primarily at Lie Groups courses and related topics, assumes familiarity with elementary concepts from group theory, analysis, and manifold theory. Students, research mathematicians, and physicists interested in Lie theory will find this text very useful.
Автор: J?rg Fr?hlich; Thomas Kerler Название: Quantum Groups, Quantum Categories and Quantum Field Theory ISBN: 3540566236 ISBN-13(EAN): 9783540566236 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Reviews recent results in low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results.
Автор: Herbert Abels Название: Finite Presentability of S-Arithmetic Groups. Compact Presentability of Solvable Groups ISBN: 3540179755 ISBN-13(EAN): 9783540179757 Издательство: Springer Рейтинг: Цена: 23280.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Solves the problem of determining which S-arithmetic groups have a finite presentation for arbitrary linear algebraic groups over finite extension fields of #3. This book is suitable for readers working on infinite groups, topological groups, and algebraic and arithmetic groups.
Название: Probability on Compact Lie Groups ISBN: 3319078410 ISBN-13(EAN): 9783319078410 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Probability theory on compact Lie groups deals with the interaction between "chance" and "symmetry," a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing).
Автор: Ion Colojoara, Aurelian Gheondea Название: Lectures on Representations of Locally Compact Groups ISBN: 6068443108 ISBN-13(EAN): 9786068443102 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 57290.00 T Наличие на складе: Невозможна поставка. Описание: This is a modern presentation of the theory of representations of locally compact groups. In a small number of pages, the reader can get some of the most important theorems on this subject. Many examples are provided.Highlights of the volume include:(1) A generous introduction explaining the origins of group theory and their representations, the motivation for the main problems in this theory, and the deep connections with modern physics.(2) A solid presentation of the theory of topological groups and of Lie groups.(3) Two proofs of the existence of Haar measures.(4) The detailed study of continuous representations on general locally convex spaces, with an emphasis on unitary representations of compact groups on Hilbert spaces.(5) A careful presentation of induced representations on locally convex spaces and G. W. Mackey's Theorem of Imprimitivity.About half of the results included in this volume appear for the first time in a book, while the theory of $p$-induced representations on locally convex spaces is new. To facilitate reading, several appendices present the concepts and basic results from general topology, differential manifolds, abstract measures and integration, topological vector spaces, Banach spaces, Banach algebras, $C^*$-algebras, and operator theory on Hilbert spaces.
Автор: Monod, Nicolas (ecole Polytechnique Federale De Lausanne) Название: New directions in locally compact groups ISBN: 1108413129 ISBN-13(EAN): 9781108413121 Издательство: Cambridge Academ Рейтинг: Цена: 87650.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This collection of expository articles provides an overview of the major renaissance happening today in the study of locally compact groups and their many connections to other areas of mathematics, including geometric group theory, measured group theory and rigidity of lattices. For researchers and graduate students.
Автор: Michel Enock; A. Connes; A. Ocneanu; Jean-Marie Sc Название: Kac Algebras and Duality of Locally Compact Groups ISBN: 3540547452 ISBN-13(EAN): 9783540547457 Издательство: Springer Рейтинг: Цена: 121070.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Develops the category of Kac algebras that answers the original duality problem. This book is of interest to researchers working in quantum groups, particularly those interested in the approach by Lie groups and Lie algebras or by non-commutative geometry, and more generally also to those working in C* algebras or theoretical physics.
Автор: Bourn Dominique Название: From Groups to Categorial Algebra ISBN: 3319572180 ISBN-13(EAN): 9783319572185 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book gives a thorough and entirely self-contained, in-depth introduction to a specific approach to group theory, in a large sense of that word. The focus lie on the relationships which a group may have with other groups, via "universal properties," a view on that group "from the outside." This method of categorical algebra, is actually not limited to the study of groups alone, but applies equally well to other similar categories of algebraic objects.
By introducing protomodular categories and Mal'tsev categories, which form a larger class, the structural properties of the category Gp of groups, show how they emerge from four very basic observations about the algebraic litteral calculus and how, studied for themselves at the conceptual categorical level, they lead to the main striking features of the category Gp of groups.
Hardly any previous knowledge of category theory is assumed, and just a little experience with standard algebraic structures such as groups and monoids. Examples and exercises help understanding the basic definitions and results throughout the text.
Автор: L.A. Lambe; D.E. Radford Название: Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach ISBN: 0792347218 ISBN-13(EAN): 9780792347217 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The quantum Yang-Baxter equation is an important equation to solve for applications in physics and topology. This book considers the equation in the context of algebraic systems and as a problem for computer algebra. It presents an account of the theoretical foundations of solving the equation.
Автор: N.Ja. Vilenkin; A.U. Klimyk Название: Representation of Lie Groups and Special Functions ISBN: 079231493X ISBN-13(EAN): 9780792314936 Издательство: Springer Рейтинг: Цена: 167700.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The last of three volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with q-analogues of special functions, quantum groups and algebras and simple Lie groups.
Автор: Michel Enock; A. Connes; A. Ocneanu; Jean-Marie Sc Название: Kac Algebras and Duality of Locally Compact Groups ISBN: 3642081282 ISBN-13(EAN): 9783642081286 Издательство: Springer Рейтинг: Цена: 121070.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book deals with the theory of Kac algebras and their dual- ity, elaborated independently by M. Enock and J . -M. Schwartz, and by G. . Kac and L. . Vajnermann in the seventies. The sub- ject has now reached a state of maturity which fully justifies the publication of this book. Also, in recent times, the topic of "quantum groups" has become very fashionable and attracted the attention of more and more mathematicians and theoret- ical physicists. One is still missing a good characterization of quantum groups among Hopf algebras, similar to the character- ization of Lie groups among locally compact groups. It is thus extremely valuable to develop the general theory, as this book does, with emphasis on the analytical aspects of the subject instead of the purely algebraic ones. The original motivation of M. Enock and J. -M. Schwartz can be formulated as follows: while in the Pontrjagin duality theory of locally compact abelian groups a perfect symmetry exists between a group and its dual, this is no longer true in the various duality theorems of T. Tannaka, M. G. Krein, W. F. Stinespring . . . dealing with non abelian locally compact groups. The aim is then, in the line proposed by G. . Kac in 1961 and M. Takesaki in 1972, to find a good category of Hopf algebras, containing the category of locally compact groups and fulfilling a perfect duality.
Казахстан, 010000 г. Астана, проспект Туран 43/5, НП2 (офис 2) ТОО "Логобук" Тел:+7 707 857-29-98 ,+7(7172) 65-23-70 www.logobook.kz
