Vvedenie V Teoriyu Banakhovykh Predstavlenii Grupp An Introduction Tot The Theory Of Banach Representations Of Groups
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Author | : Yurii I. Lyubich |
Publisher | : Birkhäuser |
Total Pages | : 231 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3034891695 |
Download Introduction to the Theory of Banach Representations of Groups Book in PDF, Epub and Kindle
The theory of group representations plays an important roie in modern mathematics and its applica~ions to natural sciences. In the compulsory university curriculum it is included as a branch of algebra, dealing with representations of finite groups (see, for example, the textbook of A. I. Kostrikin [25]). The representation theory for compact, locally compact Abelian, and Lie groups is co vered in graduate courses, concentrated around functional analysis. The author of the present boo~ has lectured for many years on functional analysis at Khar'kov University. He subsequently con tinued these lectures in the form of a graduate course on the theory of group representations, in which special attention was devoted to a retrospective exposition of operator theory and harmo nic analysis of functions from the standpoint of representation theory. In this approach it was natural to consider not only uni tary, but also Banach representations, and not only representations of groups, but also of semigroups.
Author | : Yu. I. Lyubich |
Publisher | : |
Total Pages | : 142 |
Release | : 1985 |
Genre | : |
ISBN | : |
Download Vvedenie v teoriyu Banakhovykh predstavlenii grupp [An introduction tot the theory of Banach representations of groups] Book in PDF, Epub and Kindle
Author | : Pavel Sergeevich Aleksandrov |
Publisher | : |
Total Pages | : 134 |
Release | : 1959 |
Genre | : Group theory |
ISBN | : |
Download An Introduction to the Theory of Groups Book in PDF, Epub and Kindle
Author | : M.A. Naimark |
Publisher | : Springer |
Total Pages | : 586 |
Release | : 1982-04-07 |
Genre | : Mathematics |
ISBN | : |
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Author's Preface to the Russian 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.
Author | : M.A. Naimark |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 1982-04-21 |
Genre | : Mathematics |
ISBN | : 9781461381426 |
Download Theory of Group Representations Book in PDF, Epub and Kindle
Author's Preface to the Russian 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.
Author | : Pavel Sergeevich Aleksandrov |
Publisher | : |
Total Pages | : 112 |
Release | : 1965 |
Genre | : Group theory |
ISBN | : |
Download An Introduction to the Theory of Groups Book in PDF, Epub and Kindle
Author | : Derek J. S. Robinson |
Publisher | : |
Total Pages | : 524 |
Release | : 2011-08-28 |
Genre | : |
ISBN | : 9781441985958 |
Download A Course in the Theory of Groups Book in PDF, Epub and Kindle