000			01560nam a22002417a 4500
999			_c54795 _d54795
008			210322b ||||| |||| 00| 0 eng d
020			_a9780521604956
082			_a512.55 _bCOR
100			_aCorwin, Lawrence
245			_aRepresentations of nilpotent lie groups and their applications: basic theory and examples, Part 1
260			_aCambridge: _bCambridge University Press, _c1990.
300			_aviii, 269 p. : ill. ; _bpb, _c24 cm.
365			_aGBP _b51.99
440			_aCambridge studies in advanced mathematics ; 18-
504			_aIncludes bibliographical references and index.
520			_aThere 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.
650			_aNilpotent Lie groups
650			_aRepresentations of groups
650			_aLie groups
650			_aAlgebra
700			_aGreenleaf, Frederick
942			_cTD