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D-Modules and Spherical Representations. (MN-39) (Mathematical Notes)
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D-Modules and Spherical Representations. (MN-39) (Mathematical Notes) Paperback - 2007

by Frédéric V. Bien

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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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  • Title D-Modules and Spherical Representations. (MN-39) (Mathematical Notes)
  • Author Frédéric V. Bien
  • Binding Paperback
  • Edition First Edition
  • Pages 131
  • Publisher Princeton University Press, Princeton, NJ
  • Publication date February 5, 2007
  • ISBN 9780691025179

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D-Modules and Spherical Representations (Mathematical Notes; 39)
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D-Modules and Spherical Representations (Mathematical Notes; 39)

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Princeton, NJ, U.S.A.: Princeton University Press, 1990. Softcover has very slight signs of edge and corner wear, creased bottom corners, small tear on fore-edge of back cover and orange stains on front and back. Waterstains through half-title and title pages, last page and BEP, otherwise pages are clean and tight throughout. Small bookshop sticker on rear cover. Bottom corners of early and last pages are very lightly worn and creased. Includes bibliographical references and index. T. First Edition. paperback. Acceptable/No Dust Jacket. Used.
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D-Modules and Spherical Representations
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D-Modules and Spherical Representations

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Princeton University Press, 1990. 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
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D-Modules and Spherical Representations

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Princeton: Princeton, 1990. First edition. Paperback. Near Fine/Wraps. 23.5 cm. Near fine and unused in lightly rubbed wraps. Clean and tight. ... Wraps . ISBN: 0691025177. Catalogs: Mathematics.
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D-Modules and Spherical Representations

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Princeton NJ: Princeton University Press, 1990. Paperback. Fine. 131 pages. This is #39 in the Mathematical Notes series. ; 6 x 9 1/4
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Princeton, New Jersey, U.S.A.: Princeton University Press, 1990. Paper cover with very slight signs of corner wear and contents in very good clean condition. T. First Edition. paperback. Very Good/No Dust Jacket. Used.
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D-Modules and Spherical Representations. (MN-39) (Princeton Legacy Library)
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USA: Princeton University Press, 1990. Paperback. Good/No d/j as Published. 8vo - over 7¾" - 9¾" tall. Type: Book N.B. Small plain label to inside front cover. Half title page marked.
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D-Modules and Spherical Representations. (MN-39) (Mathematical Notes, 39)
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D-Modules and Spherical Representations. (MN-39) (Mathematical Notes, 39)
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D-Modules and Spherical Representations (Mathematical Notes 39)
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Princeton, NJ: Princeton University Press, 1990. Paper Back. Near Fine/No Jacket. 8vo - over 7¾" - 9¾" tall. 131pp.incl.index; SC burntyellow w/blk.; slight rub w/sun on spine; clean,tight pgs. "The goal of this work is to study the representations of reductive Lie groups which occur in the space of smooth functions on an indefinite symmetric space." isbn 0691025177 (2)
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