Recent Developments in Lie Algebras, Groups and Representation Theory, Kailash C. Misra, Daniel K. Nakano, Brian J. Parshall
Автор: Alex Martsinkovsky, Kiyoshi Igusa, Gordana Todorov Название: Surveys in Representation Theory of Algebras ISBN: 1470436795 ISBN-13(EAN): 9781470436797 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 116430.00 T Наличие на складе: Невозможна поставка. Описание: Contains selected expository lectures delivered at the annual Maurice Auslander Distinguished Lectures and International Conference over the last several years. The selected articles reflect the diverse landscape of modern representation theory of algebras.
Автор: Hall Brian Название: Lie Groups, Lie Algebras, and Representations ISBN: 3319134663 ISBN-13(EAN): 9783319134666 Издательство: Springer Рейтинг: Цена: 50810.00 T Наличие на складе: Невозможна поставка. Описание:
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject.
In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including:
a treatment of the Baker-Campbell-Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras
motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C)
an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras
a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments
The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincar -Birkhoff-Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula.
Review of the first edition
This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended.
-- The Mathematical Gazette
Автор: A.L. Onishchik; J. Danskin; B.L. Feigin; E.B. Vinb Название: Lie Groups and Lie Algebras II ISBN: 3642080715 ISBN-13(EAN): 9783642080715 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A systematic survey of all the basic results on the theory of discrete subgroups of Lie groups, presented in a convenient form for users. The book makes the theory accessible to a wide audience, and will be a standard reference for many years to come.
Автор: Alex Martsinkovsky, Gordana Todorov, Kiyoshi Igusa Название: Recent Developments in Representation Theory ISBN: 1470419556 ISBN-13(EAN): 9781470419554 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 108110.00 T Наличие на складе: Невозможна поставка. Описание: Contains selected expository lectures delivered at the Maurice Auslander Distinguished Lectures and International Conference, held in May 2014. Three of the five lectures in this volume deal with the Catalan combinatorics, the combinatorics of Gelfand-Zetlin polytopes, and the combinatorics of tilting modules.
Автор: Jeff Cheeger; Paolo DeBartolomeis; Mikhail Gromov; Название: Geometric Topology: Recent Developments ISBN: 3540550178 ISBN-13(EAN): 9783540550174 Издательство: Springer Рейтинг: Цена: 23250.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Geometric Topology can be defined to be the investigation of global properties of a further structure (differentiable, Riemannian, complex and algebraic) one can impose on a topological manifold. This book studies the critical points of the distance function and its application to the understanding of the topology of Riemannian manifolds.
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
Автор: V.V. Gorbatsevich; A.L. Onishchik; V. Minachin; E. Название: Lie Groups and Lie Algebras III ISBN: 3642081207 ISBN-13(EAN): 9783642081200 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A comprehensive and modern account of the structure and classification of Lie groups and finite-dimensional Lie algebras, by internationally known specialists in the field. This Encyclopaedia volume will be immensely useful to graduate students in differential geometry, algebra and theoretical physics.
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.
Автор: V.V. Gorbatsevich; A.L. Onishchik; T. Kozlowski; A Название: Lie Groups and Lie Algebras I ISBN: 354061222X ISBN-13(EAN): 9783540612223 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: With an introduction to the theory of Lie groups and Lie algebras in the first part, this title deals with Lie transformation groups, and covers the research results. It is written for graduate students and researchers in mathematics and theoretical physics.
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