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D-Modules and Spherical Representations. (MN-39):, Bien Frederic V.

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Автор: Bien Frederic V.
Название:  D-Modules and Spherical Representations. (MN-39):
Издательство: Wiley
Классификация:
Геометрия
Топология

ISBN: 0691608326
ISBN-13(EAN): 9780691608327
ISBN: 0-691-60832-6
ISBN-13(EAN): 978-0-691-60832-7
Обложка/Формат: Paperback
Страницы: 142
Вес: 0.199 кг.
Дата издания: 14.07.2014
Серия: Princeton legacy library
Язык: ENG
Иллюстрации: Black & white illustrations
Размер: 22.86 x 15.24 x 0.76 cm
Читательская аудитория: Tertiary education (us: college)
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание:

The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting on homogeneous manifolds, since the infinitesimal action of a Lie algebra consists of differential operators. Hence, it is possible to attach geometric invariants, like the support and the characteristic variety, to representations of Lie groups. By considering D-modules on flag varieties, one obtains a simple classification of all irreducible admissible representations of reductive Lie groups. On the other hand, it is natural to study the representations realized by functions on pseudo-Riemannian symmetric spaces, i.e., spherical representations. The problem is then to describe the spherical representations among all irreducible ones, and to compute their multiplicities. This is the goal of this work, achieved fairly completely at least for the discrete series representations of reductive symmetric spaces. The book provides a general introduction to the theory of D-modules on flag varieties, and it describes spherical D-modules in terms of a cohomological formula. Using microlocalization of representations, the author derives a criterion for irreducibility. The relation between multiplicities and singularities is also discussed at length.

Originally published in 1990.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.




Hilbert Functions of Filtered Modules

Автор: Rossi
Название: Hilbert Functions of Filtered Modules
ISBN: 3642142397 ISBN-13(EAN): 9783642142390
Издательство: Springer
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Цена: 3268 р.
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Описание: Hilbert Functions play major roles in Algebraic Geometry and Commutative Algebra, and are becoming increasingly important also in Computational Algebra. This title features an extension of the theory to the case of general filtrations on a module, and its application to the study of certain graded algebras which are not associated to a filtration.

Modules over Operads and Functors

Автор: Benoit Fresse
Название: Modules over Operads and Functors
ISBN: 3540890556 ISBN-13(EAN): 9783540890553
Издательство: Springer
Цена: 5325 р.
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Описание: The notion of an operad supplies a conceptual and effective device to handle a variety of algebraic structures in various situations. This monograph reviews the basis of operad theory. It studies structures of modules over operads as a device to model functors between categories of algebras as effectively as operads model categories of algebras.

Spherical cr geometry and dehn surgery

Автор: Schwartz, Richard Evan
Название: Spherical cr geometry and dehn surgery
ISBN: 0691128103 ISBN-13(EAN): 9780691128108
Издательство: Wiley
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Цена: 2816 р.
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Описание: Proves an analogue of Thurston`s celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, and then derives two main geometric consequences from it. This book is suitable for graduate students interested in this area of research, as well as researchers in allied fields such as Kleinian groups and CR geometry.

Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry

Автор: Van Brummelen Glen
Название: Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry
ISBN: 0691175993 ISBN-13(EAN): 9780691175997
Издательство: Wiley
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Цена: 1562 р.
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Regular and Irregular Holonomic D-Modules

Автор: Kashiwara
Название: Regular and Irregular Holonomic D-Modules
ISBN: 1316613453 ISBN-13(EAN): 9781316613450
Издательство: Cambridge Academ
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Цена: 4370 р.
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Описание: D-module theory is essentially the algebraic study of systems of linear partial differential equations. This book, the first devoted specifically to holonomic D-modules, provides a unified treatment of both regular and irregular D-modules. The authors begin by recalling the main results of the theory of indsheaves and subanalytic sheaves, explaining in detail the operations on D-modules and their tempered holomorphic solutions. As an application, they obtain the Riemann–Hilbert correspondence for regular holonomic D-modules. In the second part of the book the authors do the same for the sheaf of enhanced tempered solutions of (not necessarily regular) holonomic D-modules. Originating from a series of lectures given at the Institut des Hautes Etudes Scientifiques in Paris, this book is addressed to graduate students and researchers familiar with the language of sheaves and D-modules, in the derived sense.

The Structure and Stability of Persistence Modules

Автор: Chazal
Название: The Structure and Stability of Persistence Modules
ISBN: 3319425439 ISBN-13(EAN): 9783319425436
Издательство: Springer
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Цена: 4674 р.
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Описание:

This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use of a new calculus of quiver representations to facilitate explicit computations.
Appealing to both beginners and experts in the subject, The Structure and Stability of Persistence Modules provides a purely algebraic presentation of persistence, and thus complements the existing literature, which focuses mainly on topological and algorithmic aspects.
A Foundation For Props, Algebras, And Modules (Surv/203)

Автор: Yau & Johnson
Название: A Foundation For Props, Algebras, And Modules (Surv/203)
ISBN: 1470421976 ISBN-13(EAN): 9781470421977
Издательство: Eurospan
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Цена: 12929 р.
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Описание: PROPs and their variants are extremely general and powerful machines that encode operations with multiple inputs and multiple outputs. In this respect PROPs can be viewed as generalizations of operads that would allow only a single output. Variants of PROPs are important in several mathematical fields, including string topology, topological conformal field theory, homotopical algebra, deformation theory, Poisson geometry, and graph cohomology. The purpose of this monograph is to develop, in full technical detail, a unifying object called a generalized PROP. Then with an appropriate choice of pasting scheme, one recovers (colored versions of) dioperads, half-PROPs, (wheeled) operads, (wheeled) properads, and (wheeled) PROPs.Here the fundamental operation of graph substitution is studied in complete detail for the first time, including all exceptional edges and loops as examples of a new definition of wheeled graphs. A notion of generators and relations is proposed which allows one to build all of the graphs in a given pasting scheme from a small set of basic graphs using graph substitution. This provides information at the level of generalized PROPs, but also at the levels of algebras and of modules over them. Working in the general context of a symmetric monoidal category, the theory applies for both topological spaces and chain complexes in characteristic zero.This book is useful for all mathematicians and mathematical physicists who want to learn this new powerful technique.

Analytic D-Modules and Applications

Автор: Bj?rk
Название: Analytic D-Modules and Applications
ISBN: 0792321146 ISBN-13(EAN): 9780792321149
Издательство: Springer
Цена: 12154 р.
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Описание: Aims to provide a complete and systematic treatment of the foundations, together with a thorough discussion of such topics as the Riemann-Hilbert correspondence, Bernstein-Sata polynomials and a large variety of results concerning microdifferential analysis.

Stable Modules and the D(2)-Problem

Автор: F. E. A. Johnson
Название: Stable Modules and the D(2)-Problem
ISBN: 0521537495 ISBN-13(EAN): 9780521537490
Издательство: Cambridge Academ
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Цена: 5412 р.
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Описание: This book is concerned with two fundamental problems in low-dimensional topology. Firstly, the D(2)-problem, which asks whether cohomology detects dimension, and secondly the realization problem, which asks whether every algebraic 2-complex is geometrically realizable. The author shows that for a large class of fundamental groups these problems are equivalent. Moreover, in the case of finite groups, Professor Johnson develops general methods and gives complete solutions in a number of cases. In particular, he presents a complete treatment of Yoneda extension theory from the viewpoint of derived objects and proves that for groups of period four, two-dimensional homotopy types are parametrized by isomorphism classes of projective modules. This book is carefully written with an eye on the wider context and as such is suitable for graduate students wanting to learn low-dimensional homotopy theory as well as established researchers in the field.

Heegner Modules and Elliptic Curves

Автор: Brown Martin L.
Название: Heegner Modules and Elliptic Curves
ISBN: 3540222901 ISBN-13(EAN): 9783540222903
Издательство: Springer
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Цена: 7475 р.
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Описание: Heegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph. The Heegner module of an elliptic curve is an original concept introduced in this text. The computation of the cohomology of the Heegner module is the main technical result and is applied to prove the Tate conjecture for a class of elliptic surfaces over finite fields, this conjecture is equivalent to the Birch and Swinnerton-Dyer conjecture for the corresponding elliptic curves over global fields.

Cyclic Modules and the Structure of Rings

Автор: Jain, S.K.; Srivastava, Ashish K.; Tuganbaev, Aska
Название: Cyclic Modules and the Structure of Rings
ISBN: 019966451X ISBN-13(EAN): 9780199664511
Издательство: Oxford Academ
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Цена: 7702 р.
Наличие на складе: Поставка под заказ.

Описание: This unique monograph brings together important material in the field of noncommutative rings and modules. It provides an up-to-date account of the topic of cyclic modules and the structure of rings which will be of particular interest to those working in abstract algebra and to graduate students who are exploring potential research topics.

Imprimitive Irreducible Modules For Finite Quasisimple Groups (Memo/234/1104)

Автор: Hiss, Husen & Magaard
Название: Imprimitive Irreducible Modules For Finite Quasisimple Groups (Memo/234/1104)
ISBN: 1470409607 ISBN-13(EAN): 9781470409609
Издательство: Eurospan
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Цена: 9344 р.
Наличие на складе: Нет в наличии.


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