000			01950 a2200253 4500
999			_c54205 _d54205
008			201224b ||||| |||| 00| 0 eng d
020			_a9781461270164
082			_a512.55 _bVAR
100			_aVaradarajan, V. S.
245			_aLie groups, Lie algebras, and their representations
260			_bSpringer, _c1984. _aNew York:
300			_axiii, 430 p. ; _bpb; _c24 cm.
365			_aEURO _b66.95
440			_aGraduate texts in mathematics; 102
520			_aThis book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I revised the notes substantially. It is the revised version that is now appearing in book form. The theory of Lie groups plays a fundamental role in many areas of mathematics. There are a number of books on the subject currently available -most notably those of Chevalley, Jacobson, and Bourbaki-which present various aspects of the theory in great depth. However, 1 feei there is a need for a single book in English which develops both the algebraic and analytic aspects of the theory and which goes into the representation theory of semi simple Lie groups and Lie algebras in detail. This book is an attempt to fiii this need. It is my hope that this book will introduce the aspiring graduate student as well as the nonspecialist mathematician to the fundamental themes of the subject. I have made no attempt to discuss infinite-dimensional representations. This is a very active field, and a proper treatment of it would require another volume (if not more) of this size. However, the reader who wants to take up this theory will find that this book prepares him reasonably well for that task.
650			_aMathematics
650			_aAlgebra
650			_aLie Groups
650			_aLie Algebras
650			_aTopological Groups
650			_aRepresentations of Groups
650			_aRepresentations of Algebras
942			_2ddc _cTD