Theory of Group Representations (Grundlehren der mathematischen Wissenschaften)

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9781461381440: Theory of Group Representations (Grundlehren der mathematischen Wissenschaften)

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.

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Book Description Springer-Verlag New York Inc., United States, 2011. Paperback. Book Condition: New. 1982 ed.. 229 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****.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. Bookseller Inventory # AAV9781461381440

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Book Description Springer-Verlag New York Inc., United States, 2011. Paperback. Book Condition: New. 1982 ed.. 229 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****. 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. Bookseller Inventory # AAV9781461381440

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Book Description Springer-Verlag New York Inc., United States, 2011. Paperback. Book Condition: New. 1982 ed.. 229 x 152 mm. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Bookseller Inventory # LIE9781461381440

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