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 ...
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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.
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Add this copy of D-Modules and Spherical Representations to cart. $9.98, very good condition, Sold by GeorgeCrossBooks rated 4.0 out of 5 stars, ships from Lexington, MA, UNITED STATES, published 1990 by Princeton.
Add this copy of D-Modules and Spherical Representations. (Mn-39) to cart. $10.49, fair condition, Sold by Once Upon A Time Books rated 4.0 out of 5 stars, ships from Tontitown, AR, UNITED STATES, published 1990 by Princeton University Press.
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Fair. This is a used book. It may contain highlighting/underlining and/or the book may show heavier signs of wear. It may also be ex-library or without dustjacket. This is a used book. It may contain highlighting/underlining and/or the book may show heavier signs of wear. It may also be ex-library or without dustjacket.
Add this copy of D-Modules and Spherical Representations. (Mathematical to cart. $10.50, very good condition, Sold by Michener & Rutledge Bookseller rated 5.0 out of 5 stars, ships from Baldwin City, KS, UNITED STATES, published 1990 by Princeton University Press.
Add this copy of D-Modules and Spherical Representations to cart. $18.90, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1990 by Princeton University Press.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 300grams, ISBN: 0691025177.
Add this copy of D-Modules and Spherical Representations. (Mn-39) to cart. $29.15, good condition, Sold by Fireside Bookshop rated 4.0 out of 5 stars, ships from Stroud, GLOUCESTERSHIRE, UNITED KINGDOM, published 1990 by Princeton University Press.
Add this copy of D-Modules and Spherical Representations. (MN-39) to cart. $37.25, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2014 by Princeton University Press.
Add this copy of D-Modules and Spherical Representations. (Mn-39) to cart. $38.98, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1990 by Princeton University Press.
