000			02331nam a2200325Ia 4500
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020			_a9780817642594 (hbk.) _c€ 119.99
040			_bENG _cIISER-BPR
041			_aENG
082			_a512.482 _bKNA _223rd
100			_aKnapp, Anthony W. _91095
222			_aMathematics
245		0	_aLie groups : _bBeyond an introduction
250			_a2nd ed.
260			_aBoston: _bBirkhauser, _cc2005
300			_axviii, 812p. : _bill. ; _c24cm
440			_aProgress in Mathematics _vVol. 140 _91917
504			_aIncludes illustrations, appendices, hints for solutions of problems, historical notes, references, index of notation & subject index.
520			_aLie Groups Beyond an Introduction takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics. A feature of the presentation is that it encourages the reader's comprehension of Lie group theory to evolve from beginner to expert: initial insights make use of actual matrices, while later insights come from such structural features as properties of root systems, or relationships among subgroups, or patterns among different subgroups. Topics include a description of all simply connected Lie groups in terms of semisimple Lie groups and semidirect products, the Cartan theory of complex semisimple Lie algebras, the Cartan-Weyl theory of the structure and representations of compact Lie groups and representations of complex semisimple Lie algebras, the classification of real semisimple Lie algebras, the structure theory of noncompact reductive Lie groups as it is now used in research, and integration on reductive groups. Many problems, tables, and bibliographical notes complete this comprehensive work, making the text suitable either for self-study or for courses in the second year of graduate study and beyond.
650			_aMathematics _91918
650			_aLie groups _91919
650			_aLie algebras _91920
650			_aRepresentation of groups _91921
942			_cBK _2ddc
942			_2ddc
947			_a10997
948			_a22
999			_c4235 _d4235