000			01886nam a22002057a 4500
003			OSt
005			20240926121242.0
008			190423b ||||| |||| 00| 0 eng d
020			_a9781461381440
040			_cTata Book House _aICTS-TIFR
050			_aQA171
100			_aM.A. Naimark
245			_aTheory of group representations
260			_aNew York: _bSpringer-Verlag, _c[c1982]
300			_a568 p
490			_aA series in comprehensive studies in mathematics _vVol. 246
520			_a Edition This book is written for advanced students, for predoctoral graduate stu­ dents, and for professional scientists-mathematicians, physicists, and chemists-who desire to study the foundations of the theory of finite­ dimensional representations of groups. We suppose that the reader is familiar with linear algebra, with elementary mathematical analysis, and with the theory of analytic functions. All else that is needed for reading this book is set down in the book where it is needed or is provided for by references to standard texts. The first two chapters are devoted to the algebraic aspects of the theory of representations and to representations of finite groups. Later chapters take up the principal facts about representations of topological groups, as well as the theory of Lie groups and Lie algebras and their representations. We have arranged our material to help the reader to master first the easier parts of the theory and later the more difficult. In the author's opinion, however, it is algebra that lies at the heart of the whole theory. To keep the size of the book within reasonable bounds, we have limited ourselves to finite-dimensional representations. The author intends to devote another volume to a more general theory, which includes infinite­ dimensional representations. --- summary provided by publisher
700			_aA.I Stern
942			_2lcc _cBK
999			_c2635 _d2635