Principal Structures and Methods of Representation Theory
Seiten
2005
American Mathematical Society (Verlag)
9780821837313 (ISBN)
American Mathematical Society (Verlag)
9780821837313 (ISBN)
- Titel z.Zt. nicht lieferbar
- Versandkostenfrei
- Auch auf Rechnung
- Artikel merken
Covers the theory of algebraic and topological structures admitting natural representations by operators in vector spaces; these structures include topological algebras, Lie algebras, topological groups, and Lie groups. This book considers associative algebras, Lie algebras, topological groups, Lie groups and some aspects of ring theory.
The main topic of this book can be described as the theory of algebraic and topological structures admitting natural representations by operators in vector spaces. These structures include topological algebras, Lie algebras, topological groups, and Lie groups. The book is divided into three parts. Part I surveys general facts for beginners, including linear algebra and functional analysis. Part II considers associative algebras, Lie algebras, topological groups, and Lie groups, along with some aspects of ring theory and the theory of algebraic groups.The author provides a detailed account of classical results in related branches of mathematics, such as invariant integration and Lie's theory of connections between Lie groups and Lie algebras. Part III discusses semisimple Lie algebras and Lie groups, Banach algebras, and quantum groups. This is a useful text for a wide range of specialists, including graduate students and researchers working in mathematical physics and specialists interested in modern representation theory. It is suitable for independent study or supplementary reading. Also available from the AMS by this acclaimed author is ""Compact Lie Groups and Their Representations"".
The main topic of this book can be described as the theory of algebraic and topological structures admitting natural representations by operators in vector spaces. These structures include topological algebras, Lie algebras, topological groups, and Lie groups. The book is divided into three parts. Part I surveys general facts for beginners, including linear algebra and functional analysis. Part II considers associative algebras, Lie algebras, topological groups, and Lie groups, along with some aspects of ring theory and the theory of algebraic groups.The author provides a detailed account of classical results in related branches of mathematics, such as invariant integration and Lie's theory of connections between Lie groups and Lie algebras. Part III discusses semisimple Lie algebras and Lie groups, Banach algebras, and quantum groups. This is a useful text for a wide range of specialists, including graduate students and researchers working in mathematical physics and specialists interested in modern representation theory. It is suitable for independent study or supplementary reading. Also available from the AMS by this acclaimed author is ""Compact Lie Groups and Their Representations"".
Introduction: Basic notions General theory: Associative algebras Lie algebras Topological groups Lie groups Special topics: Semisimple Lie algebras Semisimple Lie groups Banach algebras Quantum groups Root systems Banach spaces Convex sets The algebra $/mathrm{B}(H)$ Bibliography Index.
| Erscheint lt. Verlag | 1.12.2005 |
|---|---|
| Reihe/Serie | Translations of Mathematical Monographs |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 948 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-13 | 9780821837313 / 9780821837313 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Festigkeits- und Verformungslehre, Baudynamik, Wärmeübertragung, …
Buch | Hardcover (2025)
De Gruyter Oldenbourg (Verlag)
CHF 125,90
