Automorphic Forms on Semisimple Lie Groups, J.G.M. Mars; Bhartendu Harishchandra
Автор: Jean-Pierre Labesse; Joachim Schwermer Название: Cohomology of Arithmetic Groups and Automorphic Forms ISBN: 3540534229 ISBN-13(EAN): 9783540534228 Издательство: Springer Рейтинг: Цена: 5583.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces.
Автор: Winfried Kohnen; Rainer Weissauer Название: Conformal Field Theory, Automorphic Forms and Related Topics ISBN: 3662438305 ISBN-13(EAN): 9783662438305 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book, part of the series Contributions in Mathematical and Computational Sciences, reviews recent developments in the theory of vertex operator algebras (VOAs) and their applications to mathematics and physics.The mathematical theory of VOAs originated from the famous monstrous moonshine conjectures of J.H.
Автор: R.J. Zimmer Название: Ergodic Theory and Semisimple Groups ISBN: 1468494902 ISBN-13(EAN): 9781468494907 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is based on a course given at the University of Chicago in 1980-81. As with the course, the main motivation of this work is to present an accessible treatment, assuming minimal background, of the profound work of G. A. Margulis concerning rigidity, arithmeticity, and structure of lattices in semi- simple groups, and related work of the author on the actions of semisimple groups and their lattice subgroups. In doing so, we develop the necessary prerequisites from earlier work of Borel, Furstenberg, Kazhdan, Moore, and others. One of the difficulties involved in an exposition of this material is the continuous interplay between ideas from the theory of algebraic groups on the one hand and ergodic theory on the other. This, of course, is not so much a mathematical difficulty as a cultural one, as the number of persons comfortable in both areas has not traditionally been large. We hope this work will also serve as a contribution towards improving that situation. While there are a number of satisfactory introductory expositions of the ergodic theory of integer or real line actions, there is no such exposition of the type of ergodic theoretic results with which we shall be dealing (concerning actions of more general groups), and hence we have assumed absolutely no knowledge of ergodic theory (not even the definition of ergodic) on the part of the reader. All results are developed in full detail.
Описание: Contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September 2009 at Tokyo, Japan, in honor of Takayuki Oda`s 60th birthday. This title presents both research and survey articles in the fields that are the main themes of his work.
Автор: Gregori A. Margulis Название: Discrete Subgroups of Semisimple Lie Groups ISBN: 3642057217 ISBN-13(EAN): 9783642057212 Издательство: Springer Рейтинг: Цена: 25149.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book, written by a master of the subject, is primarily devoted to discrete subgroups of finite covolume in semi-simple Lie groups. The author not only proves results in the classical geometry setting, but also obtains theorems of an algebraic nature.
Автор: Glen Jones; Jean-Pierre Serre Название: Complex Semisimple Lie Algebras ISBN: 364263222X ISBN-13(EAN): 9783642632228 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These short notes, already well-known in their original French edition, present the basic theory of semisimple Lie algebras over the complex numbers. The last chapter discusses the connection between Lie algebras, complex groups and compact groups.
Автор: J.A. Wolf; M. Cahen; M. de Wilde Название: Harmonic Analysis and Representations of Semisimple Lie Groups ISBN: 9027710422 ISBN-13(EAN): 9789027710420 Издательство: Springer Рейтинг: Цена: 26122.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Glen Jones; Jean-Pierre Serre Название: Complex Semisimple Lie Algebras ISBN: 0387965696 ISBN-13(EAN): 9780387965697 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These are indicated by an asterisk, and the proofs can be found in Bourbaki, Groupes et Algebres de Lie, Paris, Hermann, 1960-1975, Chapters IV-VIII. A final chapter shows, without proof, how to pass from Lie algebras to Lie groups (complex-and also compact).
Автор: Urmie Ray Название: Automorphic Forms and Lie Superalgebras ISBN: 9048172543 ISBN-13(EAN): 9789048172542 Издательство: Springer Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
A principal ingredient in the proof of the Moonshine Theorem, connecting the Monster group to modular forms, is the infinite dimensional Lie algebra of physical states of a chiral string on an orbifold of a 26 dimensional torus, called the Monster Lie algebra. It is a Borcherds-Kac-Moody Lie algebra with Lorentzian root lattice; and has an associated automorphic form having a product expansion describing its structure. Lie superalgebras are generalizations of Lie algebras, useful for depicting supersymmetry - the symmetry relating fermions and bosons. Most known examples of Lie superalgebras with a related automorphic form such as the Fake Monster Lie algebra whose reflection group is given by the Leech lattice arise from (super)string theory and can be derived from lattice vertex algebras. The No-Ghost Theorem from dual resonance theory and a conjecture of Berger-Li-Sarnak on the eigenvalues of the hyperbolic Laplacian provide strong evidence that they are of rank at most 26.
The aim of this book is to give the reader the tools to understand the ongoing classification and construction project of this class of Lie superalgebras and is ideal for a graduate course. The necessary background is given within chapters or in appendices.
Автор: H. Jacquet; R. P. Langlands Название: Automorphic Forms on GL (2) ISBN: 3540049037 ISBN-13(EAN): 9783540049036 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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