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Representations of Nilpotent Lie Groups and their Applications: Volume 1, Part 1, Basic Theory and Examples (Cambridge Studies in Advanced Mathematics, Series Number 18)

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Representations of Nilpotent Lie Groups and their Applications: Volume 1, Part 1, Basic Theory and Examples (Cambridge Studies in Advanced Mathematics, Series Number 18) image
ISBN-10:

052136034X

ISBN-13:

9780521360340

Author(s): Greenleaf, Frederick P.; Corwin, Laurence
Released: Aug 31, 1990
Publisher: Cambridge University Press
Format: Hardcover, 275 pages
Related ISBN: 9780521604956
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Description:

There has been no exposition of group representations and harmonic analysis suitable for graduate students for over twenty years. In this, the first of two projected volumes, the authors remedy the situation by surveying all the basic theory developed since the pioneering work of Kirillov in 1958, and consolidating more recent results. Topics covered include basic Kirillov theory, algorithms for parametrizing all coadjoint orbits. The authors have not only given here a modern account of all topics necessary for current research, but have also included many computed examples. This volume can serve then either as a handbook for specialists, with a complete, self-contained exposition of major results, or as a textbook suitable for graduate courses in harmonic analysis.

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