0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Topology > Analytic topology

Buy Now

D-Modules and Spherical Representations. (MN-39) (Hardcover) Loot Price: R2,514
Discovery Miles 25 140
D-Modules and Spherical Representations. (MN-39) (Hardcover): Frederic V. Bien

D-Modules and Spherical Representations. (MN-39) (Hardcover)

Frederic V. Bien

Series: Princeton Legacy Library

 (sign in to rate)
Loot Price R2,514 Discovery Miles 25 140 | Repayment Terms: R236 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

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 editions preserve the original texts of these important books while presenting them in durable paperback and hardcover 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.

General

Imprint: Princeton University Press
Country of origin: United States
Series: Princeton Legacy Library
Release date: April 2016
First published: 1990
Authors: Frederic V. Bien
Dimensions: 229 x 152 x 10mm (L x W x T)
Format: Hardcover - Trade binding
Pages: 142
ISBN-13: 978-0-691-63679-5
Categories: Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
Books > Science & Mathematics > Mathematics > Topology > Analytic topology
Promotions
LSN: 0-691-63679-6
Barcode: 9780691636795

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Introduction to Symplectic Topology
Dusa McDuff, Dietmar Salamon Hardcover R3,689 Discovery Miles 36 890
A Tale of Two Fractals
A.A. Kirillov Hardcover R1,827 Discovery Miles 18 270
Introduction to Banach Spaces and…
Graham Allan Hardcover R2,999 R2,764 Discovery Miles 27 640
Fractal-Based Methods in Analysis
Herb Kunze, Davide La Torre, … Hardcover R2,941 Discovery Miles 29 410
Singularities and Foliations. Geometry…
Raimundo Nonato Araujo dos Santos, Aurelio Menegon Neto, … Hardcover R5,085 Discovery Miles 50 850
Critical Point Theory for Lagrangian…
Marco Mazzucchelli Hardcover R1,525 Discovery Miles 15 250
Advances in Dynamic Equations on Time…
Martin Bohner, Allan C. Peterson Hardcover R2,219 R1,712 Discovery Miles 17 120
Singularities in Geometry, Topology…
Jose Luis Cisneros-Molina, Dung Trang Le, … Hardcover R5,396 Discovery Miles 53 960
Hamiltonian Field Theory in the…
Piotr T Chru sciel, Jacek Jezierski, … Hardcover R2,975 Discovery Miles 29 750
Topological Nonlinear Analysis II…
Michele Matzeu, Alfonso Vignoli Hardcover R4,533 Discovery Miles 45 330
Sign-Changing Critical Point Theory
Wenming Zou Hardcover R2,904 Discovery Miles 29 040
Quantum Topology
Louis H. Kauffman, Michael P Thorman, … Hardcover R3,592 Discovery Miles 35 920

See more

Partners